to get a flat uniform cylindrical satellite spinning at the correct rate, scientists fire 4 tangential rockets. suppose that the satellite has a mass of 3600 kg and a radius of 4m, and that the rockets each add a mass of 250 kg. what is the steady force required of each rocket if the satellite is to reach 32 rpm in 5 min starting from rest.

The steady force required of each rocket is 31.36 N

Explanation:

Given that,

Mass of satellite = 3600 Kg

Radius = 4 m

Mass of rocket = 250 kg

Time = 5 min

Angular velocity = 32 rpm

We need to calculate the moment of inertia

Using formula of moment of inertia

Where, M = mass of satellite

r = radius

m = mass of rocket

Put the value into the formula

We need to calculate the angular acceleration

Using formula of angular acceleration

Where, = angular velocity

t = time

Put the value into the formula

We need to calculate the steady force required of each rocket

Using formula of torque

Put the value into the formula

Hence, The steady force required of each rocket is 31.36 N

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