Question

circular motion all important forMula

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Answer 1

The circular velocity formula is expressed as,

vc = 2 πr / T

Where in,

r denotes the radius of the circular orbit    

T is time period.

In terms of angular velocity ω, the circular velocity is described as

(FORMULA NEEDS TO BE CREATED)

vc = ω r

Where in,

ω denotes the angular velocity,

r indicates the radius of circular path

Example 1

Determine the circular velocity of a pebble tied to a thread of 0.75 m when swirled is rotating with angular velocity of 45 radians /s

Solution

Given parameters are,

Angular velocity ω = 45 rad/s

radius = 0.75 m

The circular velocity formula is given by

vc = ω r

vc = 45 × 0.75

= 33.75 m/s.

Example 2

Determine the circular velocity of the earth if the distance from sun to earth is 149500000 km and

period of earth revolution is 365.25 days.

Solution

Given parameters are,

radius r = 1495 × 108 m

Period T = 365.25 days

The circular velocity is expressed by

vc = 2πr / T

vc = 2×π×1495×108 / 365.25

= 2.571 × 109 m/s.

that's all