Give me a sign
What is the symbol for angular displacement?
Theta θ
A wheel is rotated so that a point moves through 1.5 m. The radius of the wheel is 2.5 m. What angle in radians is the wheel rotated?
0.6 rad
Calculate the torque produced by a 75-N perpendicular force at the end of a 0.2-m long wrench.
15 Nm
What is the symbol for angular velocity
Omega, w
The outer edge of a truck tire that has a radius of 45 cm has a velocity of 23 m/s. What is the angular velocity of the tire in rad/s?
51.1 rad/s
If only given the mass of an object and the distance, how can you find torque?
Convert the mass to weight (multiply by 9.8)
What is the equation that connects linear displacement and angular displacement
d= rθ
A propeller spins at 1880 rev/min. What is its angular velocity in rad/s?
196.7 rad/s
Two children sit on a 6 m see saw (with fulcrum in middle). One child is 3 m from the fulcrum and 300 N. The other child is 500 N. Where should the other child sit to balance the seesaw.
1.8 m away from the middle
What is the conversion for revolutions to radians
1 revolution = 2pi radians
A propeller slows from 475 rev/min to 187 rev/min in 4 seconds. What is the angular acceleration?
-7.5 rad/s^2
A 90.0 gram mass is 75 centimeters from the pivot point on a balance scale. What mass must be placed 45 centimeters from the pivot to create rotational equilibrium?
.15 kg or 150 grams
What are the units for angular acceleration?
rad/s^2
A fan spins through 600 revolutions in 10 seconds. What is its angular velocity?
376.99 rad/s
Suppose that a meterstick is supported at the center, and a 20-N block is hung at the 80-cm mark. Another block of unknown weight just balances the system when it is hung at the 10-cm mark. What is the weight of the second block?
30 N