PHYS 1P21 Lecture Notes - Lecture 37: Speed, Angular Acceleration, Auto Racing
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PHYS 1P21 Full Course Notes
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Solution: because the car"s speed around the track is constant, there is no tangential component of acceleration. However, there is a centripetal component of acceleration; otherwise, the car would move in s straight line, not a circle. Calculating the centripetal component of acceleration will be enough to determine the total acceleration. Thus, the magnitude of the acceleration is 9 m/s2. (b) the acceleration is directed towards the centre of the circle. Another way of saying this is that the acceleration is directed radially inward. If there were a non-zero tangential component of acceleration, then the total acceleration would be directed off-centre. Example: an electric drill starts from rest and rotates with a constant angular acceleration. After the drill has rotated through a certain angle, the magnitude of the centripetal acceleration of a point on the drill is twice the magnitude of the tangential acceleration. Determine the angle through which the drill rotates by this point.