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 uniformly from no rotation to one revolution every minute during a 11 min time interval. The spacecraft can be thought of as a cylinder with a diameter of 8.9 m.

(a) Determine the angular acceleration.
rad/s2

(b) Determine the radial and tangential component of the linear acceleration of a point on the skin of the ship 2.0 min after it started this acceleration.
Find radial m/s2
Find tangential m/s2

Explanation / Answer

Initial angular velocity of the spacecraft = 0
Final angular velocity Wf = 1 rpm = 2Pi / 60 rad/s = 0.1047 rad/s
Time taken = 11 min = 11*60 = 660 second
so from first equation of motion
Wf = Wi + at where a is angular acceleration
so a = 1.58*10-4 rad/s2
(b) velocity after 2 min
Wf = a*2*60 = 0.019 rad/s
So radial acceleration = rWf2   where r is the radius of the circle r = 8.9/2 = 4.45 m
= 0.001606 m/s2
tangential acceleration = angular acceleration*r = 1.58*10-4*4.45 = 7.031 m/s2

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.