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Angular Kinematics 1 Notes Qs

Total questions: 21

Worksheet time: 21mins

Name
Class
Date
1.

How many radians in 3.16

revolutions? 3 sig figs, no units

(a)  

2.

If a drill goes through 174 radians,

how many revolutions does it go

through? 3 sig figs, no units

(a)  

3.

Convert 33 RPM to rad/s. 2 sig figs, no units

(a)  

4.

Convert 12 rev/s to rad/s. Round to nearest whole number, no units

(a)  

5.

A certain gyro spinner has an angular

velocity of 10,000 RPM, and a

diameter of 1.1 cm. What is the

tangential velocity at its edge? 2 Sig figs, no units

(a)  

6.

What is the tangential velocity of a

13 cm diameter grinding wheel

spinning at 135 rad/s? 2 sig figs, no units

(a)  

7.

What is the angular velocity of a

57 cm diameter car tire rolling at

27 m/s? Round to nearest whole number, no units

(a)  

8.

A .450 m radius marking wheel

rolls a distance of 123.2 m. What

angle does the wheel rotate

through? Round to nearest whole number, no units.

(a)  

9.

A car with .36 m radius tires speeds up from 0 to 27 m/s in 9.0 seconds. (a) What is the linear acceleration? 2 sig figs, no units

(a)  

10.

A car with .36 m radius tires speeds up

from 0 to 27 m/s in 9.0 seconds.

(a) a = 3.0 m/s/s

(b) What is the tire’s angular

acceleration in rad/s^2? Round to 2 sig figs, no units

(a)  

11.

A car with .36 m radius tires speeds up

from 0 to 27 m/s in 9.0 seconds.

(a) a = 3.0 m/s/s

(b) α = 8.3 Rad/s/s (8.33333333)

(c) What angle do the tires go through? Round to nearest whole number, no units

(a)  

12.

A car with 0.36 m radius tires speeds up from 0 to 27 m/s in 9.0 seconds.

(a) a = 3.0 m/s/s

(b) What is the tire’s angular acceleration?

2 sig figs, no units

(a)  

13.

A car with 0.36 m radius tires speeds up from 0 to 27 m/s in 9.0 seconds.

(a) a = 3.0 m/s/s

(b) α = 8.3 Rad/s/s (8.33333333)

(c) What angle do the tires go through?

Round to nearest whole number, no units

(a)  

14.

A turbine speeds up from 34 rad/s to 89 rad/s in 2.5 seconds.  What is the angular acceleration? Round to nearest whole number, no units

(a)  

15.

A drill slows from 145 rad/s to 54.0 rad/s with an angular acceleration of -1.80 rad/s/s. Through what angle did it go?

How many rotations? (Round to nearest whole number, no units)

(Ex answer: 1000, 1000)

(a)  

16.

A motor going 45.0 rad/s has an angular acceleration of 12.4 rad/s/s for 3.70 seconds. What angle does it go through? Round to nearest whole number, no units (in radians)

(a)  

17.

A hard drive speeds up from rest to 4200. RPM in 3.50 seconds.  How many rotations does it make doing this? 4 sig figs, no units

(a)  

18.

A potter’s wheel is spinning at 71.0 RPM and stops in 5.30 revolutions.  (a) What is its angular acceleration in rad/s/s? (4 sig figs, no units, signs matter)

(a)  

19.

A hard drive slows from 7200. RPM to rest in 16.2 seconds.  What distance does a point 3.10 cm from the center travel as it is slowing down? (nearest whole number, no units)

(a)  

20.

A car with 0.68 m diameter tires has an acceleration of 3.60 m/s/s.  Through what angle do the tires go when the car speeds up from 12.0 m/s to 32.0 m/s?  How many rotations? (Example answer: 1000, 1000), Round to 3 sig figs, no units)

(a)  

21.

A drill speeds up from 16.0 rot/sec to 72.0 rot/sec in 10.0 sec.  How many rotations does it go through? Round to nearest whole number, no units

(a)