Melody is playing a game of swing ball. The game consists of a ball attached by a short rope to the top of a pole to rotate around it. The ball is kept it motion in a circular path after being hit by a bat, as shown in Fig. 1.1.
Fig. 1.1
State the equation linking the angular velocity of the ball ω, rotation angle, θ and time, t.
The ball rotates by 30º in 0.7 s.
State the value for 30º in radians, in terms of π.
Calculate ω and state an appropriate unit.
The rope is 80 cm long.
Calculate the initial velocity of the ball if it was to suddenly separate from the rope.
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