Precalculus
TUC-2 SECTORS OF CIRCLES
(PWL 4.1 and AM 7-2)
HOMEWORK #3
1)
Gear: A gear with a radius of 22 in completes 1 revolution every 30 minutes,
Find the linear speed of a point on the circumference of the gear in inches per
minute.
2)
Construction: The circular blade of a saw has a diameter of 7.5 inches and rotates
at 2400 revolutions per minute.
a) Find the angular speed in radians per second.
b)
Find the linear speed of the saw teeth (in feet per second) as they contact the
wood being cut.
3) Clocl~. Suppose that a fly is sitting on the end of the minute hand of a clock. Find
the angular speed of the fly in rad/min and in tad/hour ....
MPH/CR 9111
4)
Precalcu~us
Bicycle: The outer diameter of the wheels on a bicycle is 22 inches. The
wheels are turning at a rate of 240 revolutions per minute.
5)
transmit power from the engine to the wheels, see the
figure at the right. Suppose the drive sprocket had a
diameter of 6 inches, the wheel sprocket had a diameter
of 20 inches, and the drive sprocket rotated at 300
rev/min.
a)
Find the angular velocity of the drive sprocket in
radians per second.
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b) Pind the linear velocity o~ the wheeIs~r6cket in
c)
Find the angula~ velocity of the wheel i~~~
d) If the wheel has a diameter 38 inches, find the speed the truqk is going, to
the nearest mile per hour.
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