How much time does it take a power drill accelerating at 64.3 rad/s2 to achieve
1500. rotations per minute (rpm)?

Answer;

= 0.244 seconds

Explanation;

500 rpm is equivalent to; 1500 × 2π radians per minute

   = 9424.8 rad/minute  

To get revolutions per second we divide by 60

  = 9424.8/60  

   = 157.08 radians per second.  

Then we divide by 64.3 rad/s^2 to get time;

    = 157.08/64.3

     = 0.244 seconds.

The time is 0.244 seconds

According to the given data

1500 rpm is 1500 * (2pi) radians per minute = 9424.8 rad/minute  

So

Divide by 60 = 157.08 radians per second.  

And then

Divide by 64.3 rad/s^2 = 0.244 seconds.  

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explanation: