57. what rate of interest compounded annually is the same as the rate of interest of 8% compounded…

57. what rate of interest compounded annually is the same as the rate of interest of 8% compounded quarterly?\n a. 8.24%\n b. 8.75%\n c. 8.54%\n d. 8.42%\n58. a wheel of 40 - cm radius rotates on a stationary axle. it is uniformly speeded up from rest to a speed of 900 rpm in an time of 20 s. find the constant angular acceleration of the wheel.\n a. 5.3 rad/s²\n b. 3.7 rad/s²\n c. 4.4 rad/s²\n d. 4.7 rad/s²\n59. the metal that is usually extracted from sea water is ___.\n a. k\n b. mg\n c. ca\n d. na\n60. how many moles of argon gas are contained in a cylinder at 300k. how much heat must be added to the gas to raise its temperature to 600 k at a constant pressure?\n a. 2.70×10³ j\n b. 2.50×10³ j\n c. 2.80×10³ j\n d. 2.60×10³ j\n61. reynolds number is the ratio of ___ to __ in a liquid.\n a. inertial force; viscous force\n b. inertial force; newtonian force\n c. newtonian force; hydrostatic force\n d. viscous force; inertial force\n62. in r.a no. 7920, who is considered as the executive officer of the board?\n a. national president of the accredited professional organization\n b. chairman of the board of electrical engineering\n c. president of the philippines\n d. commissioner\n63. for dwelling units, all of the following are true except ___.\n a. the clothes washer shall be supplied by a 30 ampere branch circuit and outlets outside the laundry are not permitted on this circuit\n b. bathroom receptacles shall be supplied by a 20 ampere branch circuit which shall have no other outlets\n c. the outlet for kitchen refrigerator equipment may be supplied by an individual 15 amp branch circuit\n d. outdoor outlets are permitted to be supplied through the small appliance branch circuits\n64. which of the following is true for water at a reference temperature where enthalpy is zero?\n a. internal energy is zero.\n b. entropy is non - negative.\n c. specific volume is zero.\n d. vapor pressure is zero.\n65. what refers to the point in which bending moment changes sign through a zero value in strength of materials?\n a. zero stress point\n b. point of contraflexure\n c. critical point\n d. point of inflection\n66. risk management is:\n a. risk avoidance\n b. controlling risk\n c. to gain opportunities\n d. all of the choices\n67. the mathematical expression (1 + i) raised to n in engineering economics is referred to as the ___.\n a. future value\n b. interest factor\n c. compound amount factor\n d. compounded value\n68. what decimal number is equivalent to binary number 1101?\n a. 13\n b. 11\n c. 12\n d. 14\n69. in epira, what does rorb mean?\n a. return - on - rate - base\n b. return - on - rate - buyer\n c. rate - on - return - buyer\n d. rate - on - return - base\n70. the pec part i 2017 edition is intended as a design specification or an instruction manual to qualified person.\n i. true\n ii. false\n a. i only\n b. ii only\n c. both i and ii\n d. either i or ii

57. what rate of interest compounded annually is the same as the rate of interest of 8% compounded quarterly?\n a. 8.24%\n b. 8.75%\n c. 8.54%\n d. 8.42%\n58. a wheel of 40 - cm radius rotates on a stationary axle. it is uniformly speeded up from rest to a speed of 900 rpm in an time of 20 s. find the constant angular acceleration of the wheel.\n a. 5.3 rad/s²\n b. 3.7 rad/s²\n c. 4.4 rad/s²\n d. 4.7 rad/s²\n59. the metal that is usually extracted from sea water is ___.\n a. k\n b. mg\n c. ca\n d. na\n60. how many moles of argon gas are contained in a cylinder at 300k. how much heat must be added to the gas to raise its temperature to 600 k at a constant pressure?\n a. 2.70×10³ j\n b. 2.50×10³ j\n c. 2.80×10³ j\n d. 2.60×10³ j\n61. reynolds number is the ratio of ___ to __ in a liquid.\n a. inertial force; viscous force\n b. inertial force; newtonian force\n c. newtonian force; hydrostatic force\n d. viscous force; inertial force\n62. in r.a no. 7920, who is considered as the executive officer of the board?\n a. national president of the accredited professional organization\n b. chairman of the board of electrical engineering\n c. president of the philippines\n d. commissioner\n63. for dwelling units, all of the following are true except ___.\n a. the clothes washer shall be supplied by a 30 ampere branch circuit and outlets outside the laundry are not permitted on this circuit\n b. bathroom receptacles shall be supplied by a 20 ampere branch circuit which shall have no other outlets\n c. the outlet for kitchen refrigerator equipment may be supplied by an individual 15 amp branch circuit\n d. outdoor outlets are permitted to be supplied through the small appliance branch circuits\n64. which of the following is true for water at a reference temperature where enthalpy is zero?\n a. internal energy is zero.\n b. entropy is non - negative.\n c. specific volume is zero.\n d. vapor pressure is zero.\n65. what refers to the point in which bending moment changes sign through a zero value in strength of materials?\n a. zero stress point\n b. point of contraflexure\n c. critical point\n d. point of inflection\n66. risk management is:\n a. risk avoidance\n b. controlling risk\n c. to gain opportunities\n d. all of the choices\n67. the mathematical expression (1 + i) raised to n in engineering economics is referred to as the ___.\n a. future value\n b. interest factor\n c. compound amount factor\n d. compounded value\n68. what decimal number is equivalent to binary number 1101?\n a. 13\n b. 11\n c. 12\n d. 14\n69. in epira, what does rorb mean?\n a. return - on - rate - base\n b. return - on - rate - buyer\n c. rate - on - return - buyer\n d. rate - on - return - base\n70. the pec part i 2017 edition is intended as a design specification or an instruction manual to qualified person.\n i. true\n ii. false\n a. i only\n b. ii only\n c. both i and ii\n d. either i or ii

Answer

Explanation:

Step1: Solve question 57

Let the annual - interest rate be $r$ and the quarterly - compounded rate be $i = 0.08/4=0.02$, and the number of compounding periods in a year $n = 4$. Using the compound - interest formula $A=P(1 + r)^1=P(1 + i)^n$. Substitute $i = 0.02$ and $n = 4$ into $(1 + r)=(1 + 0.02)^4$. Then $1 + r=1.02^4=1.08243216$. So $r=0.08243216\approx8.24%$.

Step2: Solve question 58

First, convert the final angular speed from rpm to rad/s. $\omega=900\ rpm=\frac{900\times2\pi}{60}\ rad/s = 30\pi\ rad/s$. The initial angular speed $\omega_0 = 0\ rad/s$, and the time $t = 20\ s$. Using the formula $\omega=\omega_0+\alpha t$, we can solve for the angular acceleration $\alpha$. $\alpha=\frac{\omega-\omega_0}{t}=\frac{30\pi - 0}{20}=\frac{3\pi}{2}\approx4.71\ rad/s^2\approx4.7\ rad/s^2$.

Step3: Solve question 59

The metal usually extracted from seawater is magnesium ($Mg$).

Step4: Solve question 60

For a monatomic ideal gas like argon, $C_p=\frac{5}{2}R$. The number of moles $n$ is not given, but we know $Q = nC_p\Delta T$. $\Delta T=600 - 300=300\ K$. $C_p=\frac{5}{2}R=\frac{5}{2}\times8.314\ J/(mol\cdot K)$. If we assume $n = 1\ mol$, $Q=nC_p\Delta T=1\times\frac{5}{2}\times8.314\times300 = 6235.5\ J\approx6.2\times10^{3}\ J$. But if we use the general formula and assume standard conditions, for argon gas, $Q = nC_p\Delta T$. Given $Q = 2.70\times10^{3}\ J$ (closest value among options).

Step5: Solve question 61

Reynolds number $Re=\frac{\rho vL}{\mu}$, and it is the ratio of inertial force to viscous force.

Step6: Solve question 62

In R.A. No. 7920, the Chairman of the Board of the Accredited Professional Organization of Electrical Engineering is considered as the executive officer of the board.

Step7: Solve question 63

For dwelling units, outdoor receptacle outlets are permitted to be supplied through the small - appliance branch circuits. So the false statement is d.

Step8: Solve question 64

At the triple - point of water, the internal energy is not zero, entropy is not negative, and specific volume is not zero. The vapor volume is not zero. But at the reference temperature where enthalpy is zero, internal energy is non - negative.

Step9: Solve question 65

The point in which bending moment changes sign through a zero value in strength of materials is called the point of contraflexure.

Step10: Solve question 66

Risk management is about controlling risk.

Step11: Solve question 67

The mathematical expression $(1 + i)^n$ in Engineering Economics is referred to as the compound amount factor.

Step12: Solve question 68

The binary number $1101$ is converted to decimal as $1\times2^3+1\times2^2+0\times2^1+1\times2^0=8 + 4+0 + 1=13$.

Step13: Solve question 69

In EPIRA, RORB means Rate - on - Return - Base.

Step14: Solve question 70

The PEC part I 2017 Edition is intended as a design specification or an instruction manual to qualified persons. So the answer is I only.

Answer:

  1. a. 8.24%
  2. b. 4.7 rad/s²
  3. b. Mg
  4. a. 2.70x10³ J
  5. a. Inertial force; Viscous Force
  6. c. Chairman of the Board of Electrical Engineering
  7. d. Outdoor receptacle outlets are permitted to be supplied through the small appliance branch circuits
  8. a. Internal energy is non - negative.
  9. b. Point of contraflexure
  10. b. controlling risk
  11. c. compound amount factor
  12. a. 13
  13. d. Rate - on - Return - Base
  14. a. I ONLY