On what variable factors do the period and speed of an object in circular orbit depend?

Objects orbiting in rings possess a speed which is equivalent to the distance covered per time of journey. The length around a circle is equal to a circumference and measured as:

Where R denotes the radius. The time for single revolution about the circle is related to as the period and expressed by the symbol T. Therefore the average speed of an object in round movement is presented by the expression:

Usually, the query description gives the rotational frequency in revolutions per minute or revolutions per second. Every revolution about the circle is equal to a circumference of length. Thus, multiplying the rotational frequency by the circumference enables one to measure the average speed of the object.

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