If a wheel with a radius of 80 inches spins at a rate of 50 revolutions per minute, find the approximate linear velocity in miles per hour

Question

Mathematics

Tristen

5 April, 17:41

If a wheel with a radius of 80 inches spins at a rate of 50 revolutions per minute, find the approximate linear velocity in miles per hour

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Answers (2)

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Mikaela Barron · Answer 1

(50rev/min) (2π80 in/rev) (ft/12in) (mi/5280ft) (60min/hr) = 480000π/63360 mph

750π/99 mph or approximately

23.8 mph (to nearest thousandth of a mph)

Brennan · Answer 2

W = 100 rev/min = 100 x 2 π rad/min

v=rw = 80 x 200 π = 50240 x 1.6 x 10^ (-5) x 60 = 48 miles/hour