The motor of a table saw is rotating at 3450 rev/min. A pulley attached to the motor shaft drives a second pulley of half the diameter by means of a V-belt. A circular saw blade of diameter 0.208 m is mounted on the same rotating shaft as the second pulley. (a) The operator is careless and the blade catches and throws back a small piece of wood. This piece of wood moves with linear speed equal to the tangential speed of the rim of the blade. What is this speed? (b) Calculate the radial acceleration of points on the outer edge of the blade to see why sawdust doesn’t stick to its teeth.

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The motor of a table saw is rotating at 3450 rev/min. A pulley
attached to the motor shaft drives a second pulley of half the diameter
by means of a V-belt. A circular saw blade of diameter 0.208 m is
mounted on the same rotating shaft as the second pulley. (a) The operator
is careless and the blade catches and throws back a small piece of
wood. This piece of wood moves with linear speed equal to the tangential
speed of the rim of the blade. What is this speed? (b) Calculate the
radial acceleration of points on the outer edge of the blade to see why
sawdust doesn’t stick to its teeth.

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