In traveling to the Moon, astronauts aboard the Apollo spacecraft put themselves

Question

In traveling to the Moon, astronauts aboard the Apollo spacecraft put themselves into a slow rotation to distribute the Sun's energy evenly. At the start of their trip, they accelerated from no rotation to one revolution every minute during a 12 min time interval. The spacecraft can be thought of as a cylinder with a diameter of 8.0 m.

(a) Determine the angular acceleration.
rad/s2

(b) Determine the radial and tangential components of the linear acceleration of a point on the skin of the ship 5.0 min after it started this acceleration.
radial
m/s2
tangential
m/s2

Explanation / Answer

a)

w = 2xpi/60 = 0.1047 rad/sec

acceleration = w/time

alpha = w/12x60 = 0.0001454 rad/sec^2

b)

tangential = R alpha = 0.001163 m/sec^2

radial = w^2 R = (alphaxtime)^2 R = 0.0152 m/sec^2

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