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Semifinal Exam in Math 101 [Test 1]

Total questions: 21

Worksheet time: 1hrs 3mins

Name
Class
Date
1.

Find the linear velocity of a point moving with a uniform circular motion if the point covers a distance of s=100 meters in a period of t=4 hours.

a)

25 m/hr

b)

400 m/hr

c)

0.04 m/hr

d)

250 m/hr

2.

Find the linear velocity of a point moving with a uniform circular motion if the point covers a distance of s=30 ft in a period of t=2 hours.

a)

15 ft/hr

b)

60 ft/hr

c)

0.67 ft/hr

d)

30 ft/hr

3.

Find the linear velocity of a point moving with a uniform circular motion if the point covers a distance of s=3 ft in a period of t=2 min.

a)

1.5 ft/min

b)

6 ft/min

c)

0.67 ft/min

d)

3 ft/min

4.

Find the distance traveled by a point moving with a linear velocity v=10ft/sec for a period of t=4sec.

a)

40 ft

b)

2.25 ft

c)

0.4 ft

d)

10 ft

5.

Find the distance traveled by a point moving with a linear velocity v=20ft/sec for a period of t=5sec.

a)

100 ft

b)

4 ft

c)

.25 ft

d)

20 ft

6.

Find the distance traveled by a point moving with a linear velocity v=30mph for a period of t=30 sec.`

a)

15 m`

b)

1 m

c)

900 m

d)

600 m

7.

Find the angular velocity of a point if it sweeps out a central angle θ=24π rad as it moves around a circle in a period of time t=1.8 hr

a)

41.89 rad/hr

b)

0.29 rad/hr

c)

11.31 rad/hr

d)

43.2 rad/hr

8.

Find the angular velocity of a point if it sweeps out a central angle θ=0.75π rad as it moves around a circle in a period of time t=10 sec

a)

0.24 rad/sec

b)

7.5π rad/sec

c)

4.24 rad/sec

d)

7.5 rad/sec

9.

Find the angular velocity of a point if it sweeps out a central angle

 θ=2π3\theta=\frac{2\pi}{3} rad 
as it moves around a circle in a period of time t=5 sec 

a)

0.42 rad/sec

b)

7.5π rad/sec

c)

10.47 rad/sec

d)

0.67 rad/sec

10.

Find the angular velocity of a point if it sweeps out a central angle

 θ=12π\theta=12\pi rad 
as it moves around a circle in a period of time t= 5π5\pi sec 

a)

2.4 rad/sec

b)

0.42 rad/sec

c)

60 rad/sec

d)

0.67 rad/sec

11.

Find the distance s travelled by a point in a period of time t=2 minutes if it moves with angular velocity ω=10 rad/sec on a circle of radius 2ft.

a)

2,400 ft

b)

40 ft

c)

2.25 ft

d)

1,600 ft

12.

Find the distance s travelled by a point in a period of time t=5 sec if it moves with angular velocity ω=4 rad/sec on a circle of radius 2in.

a)

40 in

b)

1.6 in

c)

4 in

d)

10 in

13.

Find the distance s travelled by a point in a period of time t=60 sec if it moves with angular velocity ω=15 rad/min on a circle of radius 1.5 ft.

a)

22.5 ft

b)

1,350 ft

c)

40 ft

d)

60.5 in

14.

Find 45 rpm (revolutions per minute) in radian per minute.

a)

90π rad/m

b)

90 rad/m

c)

450 rad/m

d)

45π rad/m

15.

Find 45 rpm (revolutions per minute) in radian per minute.

a)

90π rad/m

b)

90 rad/m

c)

450 rad/m

d)

45π rad/m

16.

Find 45 rpm (revolutions per minute) in radian per minute.

a)

90π rad/m

b)

90 rad/m

c)

450 rad/m

d)

45π rad/m

17.

Find 7.4 rpm (revolutions per minute) in radian per minute.

a)

14.8π rad/min

b)

90 rad/min

c)

14.8 rad/min

d)

17.8 π rad/m

18.

A point is rotating with a uniform circular motion on a circle of radius r= 2 in. Find the linear velocity v, if ω=5 rad/sec.

a)

10 in/sec

b)

0.4 in/sec

c)

2.5 in/sec

d)

25 in.sec

19.

A point is rotating with a uniform circular motion on a circle of radius r= 4ft . Find the linear velocity v, if ω=10 rpm (revolutions per minute).

a)

80π ft/min

b)

80 ft/min

c)

40 ft/min

d)

40π ft/min

20.

A point is rotating with a uniform circular motion on a circle of radius r= 4 cm . Find the angular velocity ω, if v=10 cm/sec.

a)

80 rad/sec

b)

2.5 rad/sec

c)

40 rad/sec

d)

10 rad/sec

21.

A point is rotating with a uniform circular motion on a circle of radius r=7.5 ft. Find the angular velocity ω, if v=6 mi/hr.

a)

4224 rad/hr

b)

0.8 rad/hr

c)

45 rad/hr

d)

5280 rad/her