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WorksheetsArc Length and Angular & Linear Speed
Total questions: 10
Worksheet time: 18mins
A gear spins at a rate of 400 revolutions/minute. Which choice is closest to its angular speed in radians/second?
6.67 rad/s
2500 rad/s
41.9 rad/s
20.9 rad/s
A record spins at 33 rpm (revolutions per minute), which is an angular speed of about 3.46 radians per second. What is the approximate linear speed of a fly that sits on the record, 12 cm from the center?
3.4 cm/s
21.5 cm/s
41.5 cm/s
131.9 cm/s
A ceiling fan with 16 inch blades rotates at 45 rpm. Find the angular speed of the fan in rad/min. Round to the nearest tenth.
90 rad/min
282.7 rad/min
45 rad/min
141.4 rad/min
Determine the angular speed in rad/min of a gyroscope rotating at 6 rps (revolutions per second). Leave answer in terms of π.
360π rad/min
12π rad/min
360 rad/min
720π rad/min
A child sits 0.75 m from the center of a merry go round. The merry go round makes one revolutions in 4 seconds. What is the child's linear speed? (Use 3.14 as pi, and Round your answer to tenths)
1.9 m/s
1.2 m/s
12.6 m/s
4.71 m/s
The wheel of a machine rotates at the rate of 300 rpm (revolutions per minute). If the diameter of the wheel is 80 cm, what is the angular speed in radian per second ?
1884.96 rad/sec
24,000 rad/sec
31.42 rad/sec
1256.29 rad/sec
The length of an arc is 18cm and the radius of the circle is 6cm. What is the radian measure of the central angle?
3 radian
2 radian
4 radian
2π radian
Find the arc length.
3π/4 ft
39π/4 ft
13π/4 ft
4π/13 ft
