The most powerful lauch vehicle ever flown was the Saturn, V, used in the Apollo

Question

The most powerful lauch vehicle ever flown was the Saturn, V, used in the Apollo which landed men on the moon. It was 363 feet tall and its first stage and had a thrust of 7.5 million pounds (the thrust of over 118 Boeing 747s). It was 33 feet (10 m) in diameter. Suppose that, in order to simulate about the axis of the degree the same diameter as the Saturn V which acceleration Assuming that the at the nm of this section is equal acceleration due to gravity at the surface of the earth, please calculate the following quantities' The angular speed, in rad's. The frequency in rpm (revolutions per minute). The period T, of rotation, in seconds. The time taken to reach that angular speed from rest assuming an angular acceleration a = 2.3 rad/s

Explanation / Answer

A)

given acceleration is 9.8

w^2 R = 9.8

w = 1.4rad/sec

B)

n = w x 60/2pi

n = 13.369 rev/min

C)

w = 2pi/T

T = 2pi/w

T = 4.4879

D)

w = alpha xt

t = 0.60869sec

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