A simple fluid coupling consists of two parallel round discs of radius R separated by a...

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A simple fluid coupling consists of two parallel round discs of radius R separated by a a gap h. One disc is connected to the input shaft and rotates at ₁ rad/s. The other disc is connected to the output shaft and rotates at 002 rad/s. The discs are separated by oil of dynamic viscosity and it may be assumed that the velocity gradient is linear at all radii. Show that the Torque at the input shaft is given by D¹ μ(@₁ - 0₂) T 32h The input shaft rotates at 900 rev/min and transmits 500W of power. Calculate the output speed, torque and power. (747 rev/min, 5.3 Nm and 414 W) Show by application of max/min theory that the output speed is half the input speed when maximum output power is obtained. 300 mm dia + ↑ 1.2 min A simple fluid coupling consists of two parallel round discs of radius R separated by a a gap h. One disc is connected to the input shaft and rotates at ₁ rad/s. The other disc is connected to the output shaft and rotates at 002 rad/s. The discs are separated by oil of dynamic viscosity and it may be assumed that the velocity gradient is linear at all radii. Show that the Torque at the input shaft is given by D¹ μ(@₁ - 0₂) T 32h The input shaft rotates at 900 rev/min and transmits 500W of power. Calculate the output speed, torque and power. (747 rev/min, 5.3 Nm and 414 W) Show by application of max/min theory that the output speed is half the input speed when maximum output power is obtained. 300 mm dia + ↑ 1.2 min

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