An ancient and deadly weapon, a sling consists of two braided cords, each about

Question

An ancient and deadly weapon, a sling consists of two braided cords, each about half an arm's length long, attached to a leather pocket. The pocket is loaded with a projectile made of lead, carved rock, or clay and made to swing in a vertical circle as shown in the figure below. The projectile is released by letting go of one end of teh cord. (Assume the radius of the circle the sling makes is 1.0m)

a) if a Roman soldier can swing the sling at a rate of 6.5 rotations per second, what is the maximum range of his 117-g projectile? (Ignore air drag)

b) what is the maximum tension in each cord during the rotation?

Explanation / Answer

radius is 1 m

max vel = 13 pi m/s = 40.84m/s

max range = u^2 / g = 170.194 m

max tension = m u^2/r   = 195.14 N

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