the tip of a pinwheel is 0.24 m from the center. the pinwheel spins 5 times each second. what is the…

the tip of a pinwheel is 0.24 m from the center. the pinwheel spins 5 times each second. what is the tangential speed of the tip of the pinwheel?\n0.30 m/s\n1.2 m/s\n1.5 m/s\n7.5 m/s

the tip of a pinwheel is 0.24 m from the center. the pinwheel spins 5 times each second. what is the tangential speed of the tip of the pinwheel?\n0.30 m/s\n1.2 m/s\n1.5 m/s\n7.5 m/s

Answer

Explanation:

Step1: Calculate the angular speed

The pin - wheel spins 5 times per second. One full rotation is $2\pi$ radians. So the angular speed $\omega$ is $\omega = 5\times2\pi\ rad/s=10\pi\ rad/s$.

Step2: Use the tangential - speed formula

The formula for tangential speed $v$ is $v = r\omega$, where $r$ is the radius and $\omega$ is the angular speed. Given $r = 0.24\ m$ and $\omega=10\pi\ rad/s$. Then $v=0.24\times10\pi\ m/s$. $v = 2.4\pi\ m/s\approx 2.4\times 3.14\ m/s = 7.536\ m/s\approx7.5\ m/s$.

Answer:

D. 7.5 m/s