The four wheels of your new V6 sports car weigh 9kg, have a radius of gyration...
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The four wheels of your new V6 sports car weigh 9kg, have a radius of gyration of 340mm and a radius of 19cm. The total mass of the sports car, including spoiler downforce, is 1574kg. When you engage the overdrive, in 5th gear, the gear ratio is 0.85:1 and the axel ratio is 4:1, running at an efficiency of 93% and 98%, respectively. The engine produces 107.5kW at 3800rpm and the resistance to motion, due to the aerodynamic design, is minimal at 278N. (1) 1. Determine the moment of inertia of the wheels. 2. Determine the overall gear ratio. 3. Determine the overall efficiency. 4. Determine the engine torque. 5. Determine acceleration of the sports car if it travels up a hill of 1 in 15. 6. Does the sports car slow down or move faster? (5) (1) When you reach the top of the hill, the sports car is travelling at 118km/h and enters a level road that is 300m in distance before you notice a curve of radius 250m and a bank of 50. The resistance to motion on this part of the road is 450N/t and the total weight of the vehicle and wheels remain the same. 7. Calculate the safe velocity to enter and go around the curve safely if the coefficient of friction is 0.45. 8. Calculate the maximum acceleration required along the level road, in order to enter the curve at a safe speed. (2) (2) 9. Calculate the resisting force. 10. Calculate the effective torque at the wheels. (1) (3) [18] The four wheels of your new V6 sports car weigh 9kg, have a radius of gyration of 340mm and a radius of 19cm. The total mass of the sports car, including spoiler downforce, is 1574kg. When you engage the overdrive, in 5th gear, the gear ratio is 0.85:1 and the axel ratio is 4:1, running at an efficiency of 93% and 98%, respectively. The engine produces 107.5kW at 3800rpm and the resistance to motion, due to the aerodynamic design, is minimal at 278N. (1) 1. Determine the moment of inertia of the wheels. 2. Determine the overall gear ratio. 3. Determine the overall efficiency. 4. Determine the engine torque. 5. Determine acceleration of the sports car if it travels up a hill of 1 in 15. 6. Does the sports car slow down or move faster? (5) (1) When you reach the top of the hill, the sports car is travelling at 118km/h and enters a level road that is 300m in distance before you notice a curve of radius 250m and a bank of 50. The resistance to motion on this part of the road is 450N/t and the total weight of the vehicle and wheels remain the same. 7. Calculate the safe velocity to enter and go around the curve safely if the coefficient of friction is 0.45. 8. Calculate the maximum acceleration required along the level road, in order to enter the curve at a safe speed. (2) (2) 9. Calculate the resisting force. 10. Calculate the effective torque at the wheels. (1) (3) [18]
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Related Book For
Fundamentals of Physics
ISBN: 978-0471758013
8th Extended edition
Authors: Jearl Walker, Halliday Resnick
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