Name:     ID: 
 
Email: 

Trig Section 3.5 Quiz

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

 1. 

Find the distance s covered by a point moving with linear velocity v for a time t if

v = 18 mi/hr and t = 30 min
a.
9.73 mi
b.
8.07 mi
c.
11 mi
d.
9 mi
e.
10 mi
 

 2. 

Point P sweeps out central angle mc002-1.jpg as it rotates on a circle of radius r. Find the angular velocity of point P.

mc002-2.jpg
a.
0.221 rad/sec
b.
0.299 rad/sec
c.
0.316 rad/sec
d.
0.333 rad/sec
e.
0.238 rad/sec
 

 3. 

Point P sweeps out central angle mc003-1.jpg as it rotates on a circle of radius r. Find the angular velocity of point P.

mc003-2.jpg
a.
6 rad/min
b.
4.47 rad/min
c.
8 rad/min
d.
7 rad/min
e.
5.43 rad/min
 

 4. 

Point P sweeps out central angle mc004-1.jpg as it rotates on a circle of radius r. Find the angular velocity of point P.

mc004-2.jpg
a.
118 rad/hr
b.
100 rad/hr
c.
165 rad/hr
d.
123 rad/hr
e.
190 rad/hr
 

 5. 

Point P moves with angular velocity mc005-1.jpg on a circle of radius r. Find the distance s traveled by the point in time t.

mc005-2.jpg
a.
802 m
b.
352 m
c.
236 m
d.
274 m
e.
663 m
 

 6. 

Point P moves with angular velocity mc006-1.jpg on a circle of radius r. Find the distance s traveled by the point in time t.

mc006-2.jpg
a.
2,700 ft
b.
1,500 ft
c.
1,620 ft
d.
6,300 ft
e.
1,200 ft
 

 7. 

A point is moving with uniform circular motion on a circular path of radius r. Find mc007-1.jpg if r = 4 cm and v = 10 cm/sec.
a.
4.5 rad/sec
b.
1.06 rad/sec
c.
3.5 rad/sec
d.
2.5 rad/sec
e.
3.58 rad/sec
 

 8. 

A cable railway had a 13-foot-diameter pulley to drive the cable (see the figure). In order to keep the cable cars moving at a linear velocity of 9 miles per hour, how fast would the pulley need to turn (in revolutions per minute)? (1 mi = 5,280 ft)

mc008-1.jpg
a.
17.1 rpm
b.
15.9 rpm
c.
13.7 rpm
d.
26.5 rpm
e.
19.4 rpm
 

 9. 

The figure below is a model of the Ferris wheel. The diameter of the wheel is 185 feet, and one complete revolution takes 14 minutes. Find the linear velocity of a person riding on the wheel. Give your answer in miles per hour and round to the nearest hundredth.

mc009-1.jpg
a.
0.53 mph
b.
0.49 mph
c.
0.38 mph
d.
0.65 mph
e.
0.47 mph
 

 10. 

A woman rides a bicycle for 3 hours and travels 51 kilometers (about 32 miles). Find the angular velocity of the wheel if the radius is 30 centimeters.
a.
730 rad/min
b.
972 rad/min
c.
793 rad/min
d.
944 rad/min
e.
1,043 rad/min
 



 
         Start Over