What are the magnitudes of (a) the angular velocity, (b) the radial acceleration, and (c) the tangential acceleration of a spaceship taking a circular turn of radius 4360 km at a speed of 39000 km/h?

Explanation:

Given data

Linear speed of spaceship V=39000 km/h =10833.3 m/s

The radius of circular motion r=4360 km=4360000 m

For Part (a) angular velocity

The angular velocity is given by:

Substitute the given values

So

For Part(b) The radial acceleration of spaceship

The radial acceleration is given by:

Substitute given values and value of ω

So

For Part (c) The tangential acceleration

The spaceship is rotating with constant angular velocity,then the  tangential acceleration of spaceship is zero

So

more than, less

less than, more

the closer the planet is to the sun, the larger the gravity