Name:     ID: 
 
Email: 

MATH1720HomeworkChapter3Section4

Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 
Use the formula ù = mc001-1.jpg to find the value of the missing variable. Give an exact answer unless otherwise indicated.
 ù = mc001-2.jpg radian per min, t =  11 min
a.
mc001-3.jpg radian
c.
mc001-5.jpg radians
b.
mc001-4.jpg radians
d.
mc001-6.jpg radians
 

 2. 
Use the formula ù = mc002-1.jpg to find the value of the missing variable. Give an exact answer unless otherwise indicated.
 è = mc002-2.jpg radian, t =  11 sec
a.
mc002-3.jpg radians per sec
c.
mc002-5.jpg radian per sec
b.
mc002-4.jpg radians per sec
d.
mc002-6.jpg radians per sec
 

 3. 
Use the formula ù = mc003-1.jpg to find the value of the missing variable. Give an exact answer unless otherwise indicated.
 ù =  1.0775 radians per min, è =  10.77 radians  (Round to four decimal places when necessary.)
a.
11.8475 min
c.
11.6047 min
b.
0.1 min
d.
9.9954 min
 

 4. 
Use the formula v = rù to find the value of the missing variable. Give an exact answer unless otherwise indicated.
 r =  16 cm, ù = mc004-1.jpg radian per sec
a.
mc004-2.jpg cm per sec
c.
48ð cm per sec
b.
mc004-3.jpg cm per sec
d.
mc004-4.jpg cm per sec
 

 5. 
Use the formula v = rù to find the value of the missing variable. Give an exact answer unless otherwise indicated.
v =  12 ft per sec, r =  1.6 ft  (Round to four decimal places when necessary.)
a.
7.5 radians per sec
c.
0.1333 radian per sec
b.
3.8197 radians per sec
d.
1.9635 radian per sec
 

 6. 
Use the formula v = rù to find the value of the missing variable. Give an exact answer unless otherwise indicated.
v =  218.9 m per sec, ù =  0.63361 radian per sec  (Round to four decimal places when necessary.)
a.
69.6779 m
c.
4.9583 m
b.
0.0029 m
d.
345.4807 m
 

 7. 
Use the formula s = rùt to find the value of the missing variable. Give an exact answer.
r =  2 cm, ù = mc007-1.jpg radian per sec, t =  16 sec
a.
mc007-2.jpg cm
c.
mc007-4.jpg cm
b.
mc007-3.jpg cm
d.
mc007-5.jpg cm
 

 8. 
Use the formula s = rùt to find the value of the missing variable. Give an exact answer.
s = mc008-1.jpg m, r =  3 m, t =  4 sec
a.
mc008-2.jpg radian per sec
c.
36ð radians per sec
b.
mc008-3.jpg radian per sec
d.
mc008-4.jpg radians per sec
 

 9. 
Find ù for the minute hand of a clock.
a.
mc009-1.jpg radians per min
c.
mc009-3.jpg radians per min
b.
mc009-2.jpg radians per min
d.
30ð radians per min
 

 10. 
Find ù for a spoke on a bike tire revolving  60 times per minute.
a.
120ð radians per min
c.
60ð radians per min
b.
mc010-1.jpg radians per min
d.
mc010-2.jpg radians per min
 

 11. 
Find v for the tip of the hour hand of a clock, if the hand is  7 cm long.
a.
mc011-1.jpg cm per hour
c.
mc011-3.jpg cm per hour
b.
mc011-2.jpg cm per hour
d.
42ð cm per hour
 

 12. 
A wheel is rotating at  5 radians/sec, and the wheel has a  83-inch diameter. To the nearest foot, what is the speed of a point on the rim in ft/min?
a.
1043 ft/min
c.
1038 ft/min
b.
1033 ft/min
d.
1028 ft/min
 

 13. 
A wheel with a  21-inch diameter is turning at the rate of  44 revolutions per minute. To the nearest inch, what is the speed of a point on the rim in in./min?
a.
2949 in./min
c.
2903 in./min
b.
2956 in./min
d.
2910 in./min
 

 14. 
Two pulleys of diameters  6 m and  3 m are connected by a belt. The larger pulley rotates  42 times per min. Find the angular speed of the smaller pulley.
a.
126ð radians per min
c.
84ð radians per min
b.
252ð radians per min
d.
168ð radians per min
 

 15. 
A pulley of radius  25 cm rotates  7 times in  4 sec.  Find the angular speed of the pulley.
a.
mc015-1.jpg radian per sec
c.
mc015-3.jpg radians per sec
b.
mc015-2.jpg radians per sec
d.
mc015-4.jpg radian per sec
 

 16. 
The radius of the tires of a car is  18 inches, and they are revolving at the rate of  651 revolutions per minute. How fast is the car traveling in miles per hour?
a.
mc016-1.jpgð mph
c.
mc016-3.jpgð mph
b.
mc016-2.jpgð mph
d.
mc016-4.jpgð mph
 

 17. 
Each tire of an automobile has a radius of  1.25 feet. How many revolutions per minute (rpm) does a tire make when the automobile is traveling at a speed of mc017-1.jpg Round your answer to the nearest tenth.
a.
1757.1 rpm
c.
14.6 rpm
b.
1372.7 rpm
d.
878.5 rpm
 

 18. 
A ball on the end of a string is spinning around a circle with a radius of 5 centimeters. If in mc018-1.jpg a central angle of mc018-2.jpg radian has been covered, what is the angular speed of the ball?
a.
mc018-3.jpgradians per sec
c.
mc018-5.jpgradians per sec
b.
mc018-4.jpgradian per sec
d.
65 radians per sec
 

 19. 
An object is spinning around a circle with a radius of  20 centimeters. If in  17 seconds a central angle of mc019-1.jpg has been covered, what is the linear  speed of the object?
a.
mc019-2.jpgcm per sec
c.
20 cm per sec
b.
mc019-3.jpgcm per sec
d.
mc019-4.jpgcm per sec
 

 20. 
A wheel is rotating at  4 radians per sec, and the wheel has a  96-inch diameter. To the nearest foot per minute, what is the speed of a point on the rim?
a.
955 ft per min
c.
950 ft per min
b.
965 ft per min
d.
960 ft per min
 



 
         Start Over