- #1

PeachBanana

- 191

- 0

## Homework Statement

To get a flat, uniform cylindrical satellite spinning at the correct rate, engineers fire four tangential rockets as shown in the figure. (Picture is attached).

If the satellite has a mass of 4800 kg and a radius of 2.7m , what is the required steady force of each rocket if the satellite is to reach 29 rpm in 6.0 min?

## Homework Equations

F = ma

ω final - ω initial / t = α

F/4 = force required by each rocket

## The Attempt at a Solution

I converted everything to radians, seconds, etc.

I assumed the initial angular velocity was 0 rad./s.

3.0368 rad./s / 360 s. = 0.00843 rad./s^2

The rockets are being fired tangentially so I then found tangential acceleration.

(2.7 m)(0.00843 rad./s^2) = 0.022761 m/s^2

Then I used F = ma

F = (4800 kg)(0.022761 m/s^2)

F = 109.2528 N

F/4 = 27 N