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1.) An electric fan goes from rest to 2000 rpm in 4.0 s. What is its angular acc

ID: 1641562 • Letter: 1

Question

1.) An electric fan goes from rest to 2000 rpm in 4.0 s. What is its angular acceleration? Express your answer to two significant figures and include the appropriate units.

2.) A 95 N force exerted at the end of a 0.42 m long torque wrench gives rise to a torque of 15 N · m. What is the angle (assumed to be less than 90°) between the wrench handle and the direction of the applied force?  

3.) In addition to 1 m = 39.37 in., the following exact conversion equivalents are given: 1 mile = 5280 ft , 1 ft = 12 in , 1 hour = 60 min, and 1 min = 60 s. If a particle has a velocity of 5.9 miles per hour, its velocity, in m/s, is closest to

            

2.9 m/s. 2.1 m/s. 3.2 m/s. 2.4 m/s. 2.6 m/s.

Explanation / Answer

here,

1)

the final angular speed , w = 2000 rpm = 209.33 rad/s

time taken , t = 4 s

let the angular acceltration be alpha

w = w0 + alpha * t

209.33 = 0 + alpha * 4

alpha = 52.3 rad/s^2

the angular accelration is 52.3 rad/s^2