Question

The radius of earth's orbit around the sun is 1.5 *10^11 calculate earths angular velocity

Answer 1

hello there!!!!

Radius = 1.5 × 10¹¹ = 15 × 10 ^10 m
Velocity of earth = 30 km/s = 30,000m/s

As we know that,

Angular velocity , w = v/r
= 30,000 / 15 × 10 ^ 10
= 2000 × 10 ^-10
= 2 × 10^-7
= 0.2 × 10^-8

hope it helps you

Answer 2

In terms of physics any rotating object has two types of motions,

1) Linear velocity

2) Angular velocity

Now the angular velocity and linear velocity related with each other,

w = v/r

(Here, w = angular velocity, v = linear velocity and r = rotating path's radius)

Now 'v' of the earth is, = 30km/s

And 'r' = 1.5 × 10¹¹ km

So, w (angular velocity) = 30/1.5×10¹¹ =200×10^-12 km (answer)