Question

to stimulate the acceleration of rocket astronaut are spun at the long rotating beam of radius 9.8m what angular velocity is required so as to generate centripetal acceleration 8 times to gravity acceleration​

Answer 1

To simulate the acceleration of large rockets, astronauts are spun at the end of a long rotating beam of radius 9.8 m. Find the angular velocity required to generate a centripetal acceleration 8 times the acceleration due to gravity. Solution: Given: r = 9.8 m, a= 8g, g = 9.8 m/s2.

Now v = r ω = 1.5 x 10-2 x 1.454 x 10-4= 2.181 x 10-6 m/s

Tip of hour hand performs uniform circular motion

∴  α = 0 and aT = 0

Radial acceleration is given by
Angular speed = 1.454x 10-4rad/s, Linear speed =2.181 x 10-6 m/s,
Angular acceleration = 0, Radial acceleration = 3.171 x 10-10 m/s2.
Tangential acceleration = 0, Linear acceleartion = 3.171 x 10-10 m/s2.