1) athlete swings a 3.50-kg ball horizontally on the end of a rope. The ball moves in a circle of radius 0.870 m at an a

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1) athlete swings a 3.50-kg ball horizontally on the end of a
rope. The ball moves in a circle of radius 0.870 m at an angular
speed of 0.430 rev/s.
(a)What is the tangential speed of the ball?
(b)What is its centripetal acceleration?
(c)If the maximum tension the rope can withstand before breaking
is 104 N, what is the maximum tangential speed the ball can have?
m/s
2) An electric motor rotating a workshop grinding wheel at a
rate of 1.19 ✕ 102 rev/min is switched off. Assume the wheel has a
constant negative angular acceleration of magnitude 2.10
rad/s2.
(a) How long does it take for the grinding wheel to stop? s
(b) Through how many radians has the wheel turned during the
interval found in (a)? rad