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Linear & Angular Velocity Things that turn have both a linear velocity and an angular velocity. Things that have Linear & Angular Velocity ⚫ Dog chasing its tail ⚫ Astronaut’s Trainer for G- ⚫ Spinning Rims on a Car ⚫ Food Processor ⚫ Pizza Cutter ⚫ Spin-the-Bottle Linear & Angular Velocity Definition: s Linear Velocity is distance/time: v = t Ex. 55 mph, 6 ft/sec , 27 cm/min, 4.5 m/sec Definition: q Angular Velocity is turn/time: w = t The most common unit is RPM. Ex. 6 rev/min, 360°/day, 2π rad/hour Linear & Angular Velocity How are these 2 velocities related? s Definition of Linear Velocity: v = t r q Recall Arc Length Formula→ v = t Recognize Definition of Angular Velocity: v =r w Linear & Angular Velocity Find the angular velocity in RPM of a microwave turntable if it turns through an angle of 36°each second. Linear & Angular Velocity The cable lifting a garage door turns around a pulley at a rate of 20 cm per second. How long will it take to lift the door 2.2 meters? Linear & Angular Velocity Find your linear velocity (in feet per min.) when riding a