Question

The angular speed of a motor increases from 600 rpm to 1200 rpm in 10s.What is the angular acceleration ?​

Answer 1

Answer:

60

Explanation:

angular acceleration=change in angular speed/time

=1200-600/10

=600/10

=60

Answer 2

Answer:

The angular acceleration by a motor that increases speed from 600 rpm to 1200 rpm is

Explanation:

The change in acceleration is 1200 rpm - 600rpm = 600rpm

The change in time  = 10 seconds

→First step: Convert the speed from revolutions per minute (rpm) to    radians per second (rds/s)

   Conversion factor :  60/2π rpm = 1 rad/s

       If 60/2π( ( = 9.5481) rpm = 1 rads

      Then 600 rpm = 1 rad/sec × 600 rpm/ 9.5481 rpm

                                  ⇒600 ÷ 60/(2×3.142) × 1 rad/s

                                  = 62.84 rad/sec

→Second step: Calculate acceleration by the angular acceleration formula

         Angular acceleration = Δ angular speed / Δ Time

                                             62.84 rad/s / 10 s

                                            = 6.284 rads/ sec²