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Unformatted text preview: ME 261 Spring 2008 Solution toTest 3 Problem 1 (20 points) A data sheet for the Ferrari 599 GTB indicates that the engine produces a maximum of 611 HP at 7600 rpm. The maximum torque of 448 lb.ft is obtained at 5600 rpm. 1. What is the torque produced at 7600 rpm? 2. What is the power developed at 5600 rpm? The power is calculated using the formula: ( 29 ( 29 ( 29 000 , 63 rpm velocity Angular x lb . in Torque HP P = At 7600 rpm, ( 29 ( 29 lb . ft 422 lb . in Torque 000 , 63 7600 x lb . in Torque HP 611 = = At 5600 rpm, HP 478 P 000 , 63 7600 x 12 x 448 P = = Problem 2 (40 points) A cylinder of radius r is placed on the inside of a pipe of radius R in the position shown in the figure. This cylinder is then release from rest. 1. Find the forces acting on the cylinder immediately after it is released. 2. What does it take for this cylinder to start rolling without slipping? The free body diagram shows three forces: the weight mg, the normal force N, and the frictional force F. The center of the cylinder travels on a circle of radius R-r so its velocity is R (...
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- Spring '08