Answer:
a) 0.5644 m/s
b) ~0.384 m/s^2
c) ~3.638 m/s
Explanation:
a) Tangential speed is found be the radius*rotational speed, so it is 0.83*0.68 = 0.5644 m/s
b) Centripetal acceleration is found by v^2/r, so it is (0.5644^2)/0.83 = ~0.384 m/s^2
c) Let the tangential speed be v. The maximum centripetal force 110 N (as given). Centripetal force = mass*centripetal acceleration = mass*v^2/r (because centripetal acceleration is found by v^2/r). Inputting the values from the problem and solving for v, we get:
110 = 6.9*v^2/0.83
v = sqrt(110*0.83/6.9) = ~3.638 m/s
I hope this helps! :)
