The angular speed of a fly wheel moving with uniform angular acceleration changes from 1200 rpm to 3120 rpm in 16 seconds. The angular acceleration in rad/s2 is:

  1. 104π 
  2. 12π

Answer (Detailed Solution Below)

Option 3 :
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Detailed Solution

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CONCEPT:

According to the uniform circular motion, the equation of motion is written as;

ω = ωo + α t

Here, ω is the final angular speed, ωo the initial angular speed, t is the time taken, α is angular acceleration.

CALCULATION:

Given:  initial angular speed ωo  = 1200 rpm

final angular speed, ω = 3120 rpm

t = 16 sec.

The initial angular speed, ωo = 1200 rpm

 ω

= 40 π  rad/sec.

Similarly, 

The final angular speed  ω = 3120 rpm

= 104π  rad/sec.

Now, using ω = ωo + α t  which is

⇒ 

⇒  = 4π rad/s2

Hence option 3) is the correct answer.

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