Question

The speed of a motor increases from 600rpm to 1200rpm in 20sec what is the angular acceleration and how many revolution does it make during this time

Answer 1

solution in attachment

Answer 2

We first convert the angular velocities to radians per second.

1 revolution = 2 pie radians

We convert the velocities to radians per second.

600 revolutions per minute

In one second we have :

600/60 = 10 revolutions per second.

In radians per second we have :

2 × 10 × pie = 20 pie radians per second.

1200 revolutions per minute

We have = 1200/60 = 20 revolutions per second.

In radians we have :

20 × 2 × pie = 40 pie radians per second.

Angular acceleration = Change in angular velocity / change in time

= (40 - 20) / 20

= 1Pie radian per second square

1 pie radian is equivalent to half a revolution.

It therefore makes a half a revolution during this time.