Degrees -> Radians
30°
π /6
2π /3
120°
What is the formula that you should use to find arc length?
S=rθ
What is the exact value of sin 7π /6?
sin 7π /6= -1/2
What is one possible formula to use when looking for the Linear velocity?
v=rw
60°
π /3
5π /6
150°
What is the arc length if r= 3 m and θ = 2π /3? Round to nearest hundredth if necessary.
S= 6.28m
What is the exact value of tan 3π /4?
tan 3π /4 = -1
What is one possible formula to use when looking for angular velocity?
w=v/r
90°
π /2
7π /6
210°
Find arc length if r= 7cm and θ =45° . Round to nearest hundredth if necessary.
S=5.50cm
What is csc 13π /3?
csc 13π /3 = 2√ 3/3
What is the angular velocity for the given problem?
A 15 inch diameter tire on a car makes 9.3 revolutions per second.
w= 18.6π rad/sec.
180°
π
7π /4
315°
Find the radius of a pulley if a rotation of 51.6° raises a weight 11.4 cm.
r=12.7cm
sin(3.4645)= -0.3173249835
A pulley has a radius of 15cm. Suppose it takes 25sec for 75cm of belt to go around the pulley. What is the linear speed of the belt in cm/s.
v= 3cm/sec
360°
2π
11π /6
330°
Find the distance in kilometers between the following pair of cities, assuming they lie on the same north-south line. Chicago, Illinois, 45° N, and Dallas, Texas, 34° S. Round to the nearest hundredth if necessary.
S= 8824.38km
Approximate the value of s in the interval [0,180] if cots = 0.62084613. Give your answer in radians.
s= 1.015 radians.
A satellite traveling in a circular orbit 2400km above the surface of the Earth takes three hours to make an orbit. Assume that the radius of Earth is 6400km. Find the distance traveled in 7 hours.
d=130,000km