# Rotational Motion Angular Displacement and Speed HMH Physics

Rotational Motion Angular Displacement and Speed HMH Physics Chapter 7 pages 224-269 Section 1 pages 226-231 1. 2. 3.

4. Convert angle measurements between degrees and radians. Explain the right hand rule and vector direction of circular motion. Calculate Arc length traveled during circular motion. Calculate Angular Speed. Rotational Quantities Rotational motion the motion when an object spins

Circular motion is described in terms of the angle = the angle s = the arc length in meters the distance measured along

the circumference of a circle r = the length of the radius in meters (distance of the object from the axis of rotation) s r

One revolution in a circle is 360, which is equal to 2 rad = 2 rad 360o = 2 rad 1 turn or revolution = 2 rad

You can use this formula to convert an angle in degrees to an angle in radians (or some calculators have a function to convert for you) (rad) = --- (deg) 180

Angular displacement describes how much an object has rotated It is the change in the arc length, s, divided by the distance of the object from the axis of rotation, r s = --r When an object rotates

counterclockwise, the arc length, s, and angular displacement, , are considered positive When an object rotates clockwise, the arc length, s, and angular displacement, , are considered negative +

- While riding a carousel that is rotating clockwise, a child travels through an arc length of 11.5 m. If the childs angular displacement is 165, what is the radius of the carousel?

Angular speed describes rate of revolution It is the ratio of the angular displacement to the time interval avg = ---t units = rad/s

Similar to the linear equation for velocity: x Vavg = --t A child at an ice cream parlor spins on a stool. The child turns counterclockwise with an average

angular speed of 4.0 rad/s. In what time interval will the childs feet have an angular displacement of 8.0 rad?

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