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Deg, Rad, GradThere are 360 degrees in one rotation of a circe.
There are 2π radians in one rotation of a circle.
There are 400 gradians in one rotation of a circle.
Convert between radians and degrees to fill in the missing measurements below.
Angular Displacement, Velocity, and Acceleration.
Angular Displacement (θ): The change in angle (in radians) of a rotating object.
Angular Velocity (ω): The rate at which an object is spinning. Rad/s
Angular Acceleration (α): The rate at which a spinning object is changing speed. Rad/s2
A Couple other useful formulas.
ra rArcLength
Lever Arm: The perpendicular distance from the axis of rotation to the point where the force is exerted.
Torque: A measure of how effective a force causes rotation.
Torque = Force perpendicular to rotation times distance away from the center of rotation.
Measured in N·m
Also seen as
when the force is not applied at a right angle to the lever arm.
Rotational Dynamics & Torque
rF
Label each of the situations in rows a and b as having ‘No’, ‘Little’, or ‘Maximum’ effect.
sinrF
The lug nut on your car needs to be torqued to 81.0 N·m. You have a wrench that is 25.0 cm long and you push at the angle indicated in the picture. With what force do you need to push to correctly torque the nut?