A0.18-kg turntable of radius 0.32 m spins about a vertical axis through its center. a constant rotational acceleration causes the turntable to accelerate from 0 to 24 revolutions per second in 8.0 s. calculate the rotational acceleration.

Angular acceleration will be

Explanation:

We have given that mass m = 0.18 kg

Radius r = 0.32 m

Initial angular velocity

And final angular velocity

Time is given as t = 8 sec

From equation of motion

We know that

So angular acceleration will be

given data:

determine the horse power (h.p) = ?

force applied to move the box(f) = 10 pounds,

box lifted from a distance         (d) = 3 feet

time taken to lift                         (t) = 10 sec,

the horse power is defined as amount of work required to move a load. the horse power is equal to 550 foot-pound per second

                  1 h.p   = 550 foot-pound/second

it can also be defined as the the load that need to be move a body for certain distance in a certain amount of time.

mathematically,

                      h.p = (force × distance)/ time

                            = (10 × 3)/ 10

                            = 30/10

                            = 3 foot -pound/sec

hence, the horse power is needed to move the box is 3 foot-pound/second

important note: 1 h.p = 550 foot-pound/second = 746 watts