Linear and Angular Speeds
Find the linear velocity of a point on a circle of radius 12 meters and an angular velocity of 2pi/3 radians per sec.
8pi meters per sec
25.133
What are the cos and sin values at pi/2 on the unit circle?
cos is 0 and sin is 1
What is sin on the unit circle?
the y value of a point
What is 120° as radian?
2π/3
What is the value of tangent (5π/3)
NEGATIVE sqrt. of 3
Find the angular velocity of a point on a circle of radius 3 feet with a linear velocity of 18 feet per sec.
6 radians per sec
Which quadrants have cosine as a positive values?
Quadrants I and IV
What is cos on the unit circle?
The x value of a point
What is 7pi/6 in degrees?
210°
What is sin(π/2)
1
Find the radius of a circle that has a point on the circle rotating at a linear velocity of 12 meters per second and an angular velocity of 3pi/2 radians per sec.
8/pi meters
2.546 meters
What is the value of sin at pi?
What is the fraction of tan on the unit circle?
y/x
What is the circumference and radius of the unit circle?
2π and 1
What is the value of sin(π/6)?
1/2
Find the angle in radians generated by a point traveling at an angular velocity of 2pi/3 radians per sec for 3 seconds.
2pi radians
Which quadrants have tangent as a negative value?
Quadrants II and IV
What is sin(300)
-0.9998
Which radian angle has cos of √3/2 and sin of 1/2?
π/6
What is the value of cos(120°)
-1/2
Find the radius of a circle that has a point on the circle rotating at a linear velocity of 24.93 cm per sec and an angular velocity of 22.374 radians per min.
66.85 cm
Which quadrants have sine as positive values?
QI and QII
What is tan(7pi/4)
-1
Which radian angle has cos of -1/2 and sin of √3/2?
2π/3
What is tan(330°)
-√(3) / 3