Since one revolution around a circle is 2 pi radian; hence 1 rpm equals 2 pi radians per minute. And because a minute has 60 seconds, 1 rpm equals 1/60 revolution per second. Therefore, we have 2 pie/60 * 15.3 = 0.2513 rps.
The linear velocity v = wr where w is the angular velocity in rad/s and r is the distance.
So we have 0.2513 * 10.0 = 2.513 rad/s
The centripetal acceleration is given by a = w^2 r = (2.513)^2 * 10 = 63.15 rad/s2
The centripetal force F = mass * centripetal acc = 75 * 63.15 = 4736.25 N
The torque = centripetal force * distance = 4736 * 63.15 = 299078.4 Nm
Two forces acts on the astronaut. The normal force and acceleration due to gravity.
