Angular Kinematics Basics
This term describes the angle an object rotates through per unit of time.
Angular velocity
A car’s tire has a radius of 0.4 m and rotates with an angular velocity of 15 rad/s. What is the linear speed of a point on the tire’s outer edge?
What is 6 m/s?
Torque depends on these three factors: the magnitude of the force, the lever arm length, and this.
What is the angle between the force and the lever arm?
A graph of angular velocity vs. time has a slope. What physical quantity does the slope represent?
What is angular acceleration?
This quantity is measured in radians per second squared and represents the rate of change of angular velocity.
What is angular acceleration?
A spinning top accelerates from 20 rad/s to 60 rad/s in 4 seconds. What is the angular acceleration?
What is 10 rad/s²?
A force of 10 N is applied perpendicular to a lever arm 0.5 m from the pivot. What is the torque?
What is 5 Nm?
A straight horizontal line on an angular displacement vs. time graph indicates this type of motion.
What is uniform angular motion?
If a rotating wheel starts from rest and accelerates at 2 rad/s², how many radians will it turn in 5 seconds?
What is 25 rad?
If a flywheel makes 300 revolutions, how many radians has it rotated?
What is 600π rad?
A wrench of length 0.25 m is used to tighten a bolt. If a force of 40 N is applied at an angle of 60° to the wrench, what is the torque?
What is 8.66 Nm?
The area under the curve of an angular acceleration vs. time graph represents this quantity.
What is angular velocity?
An object rotates with an angular velocity of 10 rad/s and comes to rest in 2 seconds due to constant angular deceleration. What is the angular acceleration?
What is -5 rad/s²
A gear with a radius of 0.3 m rotates at 20 rad/s. If a smaller gear with a radius of 0.1 m is connected to it, what is the angular velocity of the smaller gear?
What is 60 rad/s?
A uniform beam of length 2.0 m is pivoted at one end and held horizontally by a cable attached 1.5 m from the pivot. If the beam weighs 300 N, what is the tension in the cable?
What is 200 N?
An object’s angular velocity increases non-linearly on a graph. The increasing slope indicates this about angular acceleration.
What is angular acceleration is increasing?
The relationship between linear displacement and angular displacement is determined by this radius-dependent formula.
What is s = rθ?
The angular displacement of a rotating object is described by θ(t) = 4t² - 2t + 3. Find the angular velocity at t = 2 s.
What is 14 rad/s?
A thin disk rotates around its center, and a force of 50 N is applied tangentially to its edge. If the radius of the disk is 0.4 m, what is the resulting torque?
What is 20 Nm?
A graph shows angular velocity vs. time for an object. How can you determine the angular displacement using this graph?
What is by finding the area under the curve?