During a discus throw, Arthur's arm rotates 25 rad/s, and the discus is 1.5 m from the axis of rotation when he releases it. Blake's arm rotates 30 rad/s, and the discus is 1.1 m from the axis of rotation when he releases it. Whose discus throw is most likely to be farther

Explanation:

Given:

Arthur:

Angular velocity, ωa = 25 rad/s

Radius, ra = 1.5 m

Blake:

Angular velocity, ωb = 30 rad/s

Radius, rb = 1.1 m

Tangential velocity, v = ω × r

va = 25 × 1.5

= 37.5 m/s

vb = 30 × 1.1

= 33 m/s

At the rate the discus travels through a distance in 1 second, velocity with the greater magnitude will cover more distance. That is, the discuss thrown by arthur will be farther than that thrown by blake.