A wheel rotates through an angle of 320 degrees as it slows down from 78.0 rpm t

Question

A wheel rotates through an angle of 320 degrees as it slows down from 78.0 rpm to 22.8 rpm. What is the magnitude of the average angular acceleration of the wheel? A. 5.46 rad/s^2 B. 8.35 rad/s^2 C. 10.9 rad/s^2 D. 6.50 rad/s^2 A wheel rotates through an angle of 320 degrees as it slows down from 78.0 rpm to 22.8 rpm. What is the magnitude of the average angular acceleration of the wheel? A. 5.46 rad/s^2 B. 8.35 rad/s^2 C. 10.9 rad/s^2 D. 6.50 rad/s^2 A. 5.46 rad/s^2 B. 8.35 rad/s^2 C. 10.9 rad/s^2 D. 6.50 rad/s^2

Explanation / Answer

320 degree = 5.585 rad

78 rpm = 8.168 rad/s

22.8rpm = 2.3876rad/sec

we know that

w1^2 -w0^2 = 2x theta x alpha

alpha = 5.4624 rad/s^2

answer A

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