A wheel is rotating about an axis perpendicular to the plane of the wheel and passing through the center of the wheel. The angular speed of the wheel is increasing at a constant rate. Point A is on the rim of the wheel and point B is midway between the rim and center of the wheel. For each of the following quantities, is its magnitude larger at point A or at point B, or is it the same at both points? (a) Angular speed; (b) tangential speed; (c) angular acceleration; (d) tangential acceleration; (e) radial acceleration. Justify each answer.
A wheel is rotating about an axis perpendicular to the plane of the wheel and passing through the center of the wheel. The angular speed of the wheel is increasing at a constant rate. Point A is on the rim of the wheel and point B is midway between the rim and center of the wheel. For each of the following quantities, is its magnitude larger at point A or at point B, or is it the same at both points? (a) Angular speed; (b) tangential speed; (c) angular acceleration; (d) tangential acceleration; (e) radial acceleration. Justify each answer.
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A wheel is rotating about an axis perpendicular to the plane
of the wheel and passing through the center of the wheel. The angular
speed of the wheel is increasing at a constant rate. Point A is on the rim
of the wheel and point B is midway between the rim and center of the
wheel. For each of the following quantities, is its magnitude larger at
point A or at point B, or is it the same at both points? (a) Angular speed;
(b) tangential speed; (c)
(e) radial acceleration. Justify each answer.
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