find the angular velocity in radians per minute and linear velocity in inches per minute for a point on the…

find the angular velocity in radians per minute and linear velocity in inches per minute for a point on the edge of a 6.9 - in. - diameter record spinning at 44 rev/min. the angular velocity is radians per minute. (simplify your answer. type an integer or decimal rounded to the nearest tenth.)

find the angular velocity in radians per minute and linear velocity in inches per minute for a point on the edge of a 6.9 - in. - diameter record spinning at 44 rev/min. the angular velocity is radians per minute. (simplify your answer. type an integer or decimal rounded to the nearest tenth.)

Answer

Explanation:

Step1: Recall the formula for angular velocity

Angular velocity (\omega) (in radians per minute) is given by (\omega = 2\pi n), where (n) is the number of revolutions per minute.

Step2: Substitute the value of (n)

Given (n = 44) rev/min. Then (\omega=2\pi\times44). [ \begin{align*} \omega&=88\pi\ &\approx88\times 3.14159\ &=276.46 \end{align*} ]

Answer:

(276.5)