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Amanda [17]
4 years ago
8

An automobile engine slows down from 4500 rpm to 1200 rpm in 2.5 seconds. (A) Calculate its angular acceleration. (Give your ans

wer in radians per second squared written as rad/s^2)
English
1 answer:
stich3 [128]4 years ago
6 0

Answer:

-138.23 rad/s^2

Explanation:

The initial angular velocity = 4500 rpm

The final angular velocity = 1200 rpm

1 revolution = 2π radians

1 minute = 60 seconds

So,

Initial\ velocity=\frac {4500\times 2\pi}{60}\ radians/sec=471.2389\ radians/sec

Final\ velocity=\frac {1200\times 2\pi}{60}\ radians/sec=125.6637\ radians/sec

Time = 2.5 seconds

Angular acceleration is:

\alpha=\frac {\omega_f-\omega_i}{t}

\alpha=\frac {125.6637-471.2389}{2.5}\ rad/s^2

Angular acceleration =- 138.23 rad/s^2

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