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A

Anonymous

Jan 01, 2025

A ceiling fan with 89-cm-diameter blades is turning at 64 rpm .?

A ceiling fan with blades measuring 89 cm in diameter is operating at a speed of 64 revolutions per minute (rpm). Once turned off, the fan takes 25 seconds to come to a complete stop.

a) What is the speed of the tip of a blade 10 seconds after the fan has been turned off?
b) How many revolutions does the fan complete during the stopping period?

2 Answers

A
Anonymous

Feb 12, 2025

It depends on whether the fan is decelerating at a constant rate.

"Coasts" is a very vague term.

M
Madge Kozey

Feb 04, 2025

r = 0.89/2m= 0.445m;

t =25; v=0; u=64 rpm = 64* 2*pi /60 = 6.7 rad/s

v =u+at

0 = 6.7 + 25 a

a = - 0.268 rad/s2

a) v = u +at

v = 6.7 - 0.268 * 10

v = 4.02 rad/s

speed of the tip of a blade = 0.445 * 4.02 = 1.789m/s --answer

b) s = ut + 0.5 at^2

s = 6.7 * 25 - 0.5 * 0.268* 25^2

s = 83.75rad

= 13.33 rev

answer

revolutions the fan turned while stopping

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