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Understanding Rotational Motion: Radians, Velocity, and Acceleration

Explore the complexities of rotational motion, including the concept of radians, angular velocity, and angular acceleration. Learn how to convert between radians and degrees, and solve problems related to rotational motion equations. Understand the relationship between frequency, period, and rotational speed units. Practice problems provided for a comprehensive understanding.

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Understanding Rotational Motion: Radians, Velocity, and Acceleration

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  1. Rotational Motion: The Hard Stuff What is a radian? Ex 1: A wheel rotates 5.8 revolutions. How many radians has it rotated? Ex 2: Convert (3x10^-5 rad) to degrees. Knowing the Variables! description Connection to Frequency and Period! Relation to Rotational Motion: 1Hz = 1 rev/s T = 1/f Ex 3: A hard drive spins at 7200 rpm. A) what is the angular velocity of the disk? B) if the disk has a radius of 3.0cm find the linear speed of the outside of the disk. Knowing the Equations! Units! Ex 4: A centrifuge rotor is accelerated from rest to 20,000 rpm in 30 s. A) what is the average angular acceleration? B) How many revolutions has the centrifuge rotor turned during the acceleration period, assuming constant acceleration. Problems Due 3/25/14: Page 219 (# 1, 4-7, 15-16)

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