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WorksheetsRadians, linear and angular speed SNOWDAY
Total questions: 12
Worksheet time: 26mins
What are the negative and positive coterminal angles of -225°?
375°, -600°
125°, -356°
135°, -585°
60°, -120°
Which of the following degree measures is represented by this diagram?
−220°
385°
−210°
−480°
Which of the following shows 45π graphed in standard position?
Find the arc length.
3π/4 ft
39π/4 ft
13π/4 ft
4π/13 ft
In radians, what is 360 degrees?
π/2
2π
1
3π
What is meant by one radian?
Something with pi in it.
An angle turn through by the radius from a point in a particular direction.
An angle at center of circle by an arc equal in length to radius.
Any angle greater than 90°
What is meant by angular velocity?
v/r
angle swept by radius in a particular direction
rate of change in angular displacement
θt
If you know how fast a wheel is turning in revolutions per minute, what do you multiply by to find the angular speed?
circumference
π times radius
2π
360
The wheels of a car have radii of 25 cm and are rotating at 600 rotations per minute. Determine the speed of the car in km per hour to the nearest tenth.
HINT: (Determine ω (angular speed) first and then use v=ω⋅r)
6.3 km/hour
12.5 km/hour
56.5 km/hour
78.5 km/hour
A car tire has a diameter of 36 cm and is spinning at 10 revolutions per second. What is the linear speed in km per hour?
40.72 km / 1 hr
50.90 km / 1 hr
3.28 rad / 1 hr
2.84 rad / 1 hr
