The orbital period of an object is 2 × 107 s and its total radius is 4 × 1010 m.The tangential speed of the satellite is ______________ m/s. (Round to the nearest whole number, do not add any punctuation.)

The orbital period of an object is 2 107 s and its total radius is 4 1010 mThe tangential speed of the satellite is ms Round to the nearest whole number do not class=

Respuesta :

Velocity = distance/time

Tangential velocity is the distance covered around the arc of the circular path per unit time.

The period is the time taken to cover one revolution and it is equal to the circumference of a circle. This means that the distance covered is 2pi x radius

Thus,

Tangential velocity = 2 x pi x radius/period

From the information given,

period = 2 x 10^7 s

radius = 4 x 10^10 m

pi = 3.14

Thus,

Tangential velocity = 2 x 3.14 x 4 x 10^10/2 x 10^7

Tangential velocity = 12560 m/s