A planetary space probe is in the shape of a cylinder. To protect it from heat o

Question

A planetary space probe is in the shape of a cylinder. To protect it from heat on one side (from the Sun's rays), operators on the Earth put it into a "barbecue mode," that is, they set it rotating about its long axis. To do this, they fire four small rockets mounted tangentially as shown in the figure (the probe is shown coming toward you). The object is to get the probe to rotate completely once every 40.0s , starting from no rotation at all. They wish to do this by firing all four rockets for a certain length of time. Each rocket can exert a thrust of 50.0N . Assume the probe is a uniform solid cylinder with a radius of 3.50m and a mass of 1600kg and neglect the mass of each rocket engine.

Determine the amount of time the rockets need to be fired.

Explanation / Answer

Now, = 0*t + 1/2**t2

0=0, =2 (for 1 rotation ), t=40

putting this we get = /400 rad/sec^2

f = 0 + *t

Solving above equation we get, f = /10

Moment of Inertia here= mr^2= 19600 Kg m^2

Rotational kinetic energy= 1/2* I*f2 = 98

To find the time rockets need to be fired , we need their power or the rate at which they exert force (force/time)

Once you have that, then, power*required time= 98

So, I believe some data is missing here

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