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WorksheetsAngular and Linear velocity
Total questions: 9
Worksheet time: 23mins
Name
Class
Date
1.
Calculate the length of an arc with radius 15 cm and central angle of 30°.
a)
450 cm
b)
5π/2 cm or ≈ 7.9 cm
c)
225 cm
d)
5π/4 cm or ≈ 3.9 cm
2.
Calculate the area of a sector with central angle of 140° and radius of 8 cm.
a)
224/9 cm2 or ≈ 24.9 cm2
b)
896 π/9 cm2 or ≈ 312.8 cm2
c)
4480 cm2
d)
224 π/ 9 cm2 or ≈ 78.2 cm2
3.
Determine the central angle if the arc length is 10 cm and the radius is 5 cm.
a)
2°
b)
not possible ... "s" is too small
c)
≈ 114.6°
d)
360°
4.
What is the radius of the circle with area of a sector equal to 7π cm2 and central angle of 70°?
a)
6 cm
b)
1π/5 cm or .6 cm
c)
.8 cm
d)
36 cm
5.
A ceiling fan with 16 inch blades rotates at 45 rpm. Find the angular velocity of the fan in rad/min. Round to the nearest tenth.
a)
90 rad/min
b)
282.7 rad/min
c)
45 rad/min
d)
141.4
6.
Determine the linear velocity of the tips of the blades in inches per minute for a ceiling fan with 20 inch blades rotating at 45 rpm.
a)
5654.9 in/min
b)
1800 in/min
c)
2827.4 in/min
d)
900 in/min
7.
How many revolutions will a car wheel of diameter 30 in. make as the car travels a distance of one mile? (Hint: determine the circumference first ... rev/circumference ... then convert to rev/mile) Round answer to the nearest tenth.
a)
6635.0 rev/mile
b)
672.3 rev/mile
c)
884.7 rev/mile
8.
The wheels of a car have radius 11 in. and are rotating at 600 rpm. Determine the speed of the car in miles/hour to the nearest tenth. (Determine ω (angular velocity) first and then use v=ω⋅r and convert to miles/hour)
a)
6.3 miles/hour
b)
12.5 miles/hour
c)
39.3 miles/hour
d)
78.5 miles/hour
9.
Determine the angular velocity in rad/min of a gyroscope rotating at 6 rps (revolutions per second). Leave answer in terms of π.
a)
360π rad/min
b)
12π rad/min
c)
360 rad/min
d)
720π rad/min
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