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LESSON
1:RADIANS & DEGREES HOMEWORK QUESTIONS
Quick Review:
Relation between Radians and
degrees:
Homework
questions: (Solutions below)
1. Convert each of the following to degree
measure.
3. Convert to degrees
to the nearest tenth.
4. Convert to radians to the nearest hundredth.
a) 750 b) 3350 c) 421.60 d) 77.40
9. An electric motor turns at 2500 rpm’s (rev’s
per minute). Express this angular
velocity in radians per second to the nearest hundredth.
10. A figure skater turns through a rotation of
12.5 rad in 4.2 s before stopping.
a) Find the angular velocity.
b) Find the number of rpm’s.
11. Express the angular velocity of the second
hand of a watch in:
a) revolutions per hour
b) rad/s
12. Express the angular velocity of the earth as
it rotates around the sun in:
a) rad/day
b) rad/h
13. Express the angular velocity of the hour
hand of a watch in:
a) revolutions per day
b) rad/day
14. Determine the angle the second hand of a watch rotates in 3 h
a) in
radians
b) in
degrees
Solutions:
1. Convert each of the following to degree
measure.
Solution:
3. Convert to degrees
to the nearest tenth.
Solution:
4. Convert to radians to the nearest hundredth.
9. An electric motor turns at 3600 rpm’s (rev’s
per minute). Express this angular
velocity in radians per second to the nearest hundredth.
Solution:
10. A figure skater turns through a rotation of
12.5 rad in 4.2 s before stopping.
a) Find the angular velocity.
Solution:
b) Find the number of rpm’s.
Solution:
11. Express the angular velocity of the second
hand of a watch in:
a) revolutions per hour
Solution:
The
second hand makes a complete revolution in one minute
Hence
angular vel. = 1 rev/min x 60 min/h
= 60 rev/h
b) rad/s
Solution:
12. Express the angular velocity of the earth as
it rotates around the sun in:
a) rad/day
Solution:
b) rad/h
Solution:
13. Express the angular velocity of the hour
hand of a watch in:
a) revolutions per day
Solution:
There
are 24 hours per day and 1 revolution per hour
Hence
angular velocity = 24 rev’s/day
b) rad/day
Solution:
14. Determine the angle the second hand of a watch rotates in 3 h
a) in
radians
Solution:
b) in
degrees
Solution:
