(II) To get a fiat, uniform cylindrical satellite spinning at the correct rate, engineers fire four tangential rockets as shown in Fig. 8-50. Suppose that the satellite has a mass of 3600 kg and a radius of 4.0 m, 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 5.0 min, starting from rest?

Step by step Solution

Step 1 of 4</p>

APPROACH

The firing force of the rocket will create a net torque but no net force. Since each rocker fires tangentially, each force has a lever arm equal to the radius of the satellite and each force is perpendicular to the lever arm. So the net torque is the product of force and the level arm. We can determine the steady force of each rocket by knowing the net torque. Therefore, we need to calculate the angular acceleration and then the torque by using the equation of rotational kinematics. After that we would be equating them both to find the force.

Step 2 of 4</p>

Given that the mass of satellite M = 3600 kg, the radius of circle R = 4m, the angular velocity