This is question 1 please show all work calculus is used. the they Also place in

Question

This is question 1 please show all work calculus is used.

the they Also place in the class, to show that they work out with each problem. way should. your answers spaces provided (30 points) A propeller on an airplane is turned off when rotating at an angular speed of 4450 rev/min, and comes to rest after spinning through 12.510 rev 1. a. (15) What is the angular acceleration of the propeller blade, assumed to be constant? rad/s b. (15) How much time does it take before the propeller comes to rest?

Explanation / Answer

1. given wo = 4450 rev/min

comes to rest after theta = 12.510 rev

a. angular accelration of the propellor blade = alpha

then

wf = 0

wo = 4450 rev/min = 4450*2*pi rad/ 60 s= 466.0029 rad/s

theta = 12.510 rev = 12.510*2*pi rad = 78.6026 rad

hence

using equation

2*alpha*theta = wf^2 - wo^2

alpha = -1381.37099 rad/s/s

b. time taken for the propellor to come to rest = t

wf = wo + alpha*t

t = (wf - wo)/alpha = 0.337348115 s

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