Deck 11: Pressure in Fluids

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Question
Determine the force applied tangentially to a bar of a screw-jack at a radius of 60 cm, if the torque required is 750 N m.
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Calculate the torque developed by a motor whose spindle is rotating at 900 rev/min and developing a power of 4.20 kW.
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A motor connected to a shaft develops a torque of 8 kN m. Determine the number of revolutions made by the shaft if the work done is 7.2 MJ
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An electric motor has an efficiency of 72% when running at 1400 rev/min. Determine the output torque when the power input is 2.50 kW
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A circular piston exerts a pressure of 150 kPa on a fluid when the force applied to the piston is 0.5 kN. Calculate the diameter of the piston, correct to the nearest millimetre.
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A block of aluminium having a mass of 20 kg cools from a temperature of 250C to 80C. How much energy is lost by the aluminium? Assume the specific heat capacity of aluminium is 950 J/(kg C).
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Calculate the heat energy required to convert completely 12 kg of water at 30C to superheated steam at 100C. Assume that the specific heat capacity of water is 4200 J/(kg C) and the specific latent heat of vaporisation of water is 2260 kJ/(kg C).
Question
An electric furnace has an efficiency of 62% and is rated at 7.5 kW. 20 kg of copper at 23°C is placed in the furnace until it melts at 1079°C. If the specific heat capacity of copper is assumed to be 0.39 kJ/(kg°C) and the latent heat of fusion is 180 kJ/(kg°C), calculate the time taken for the furnace to melt the copper.
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Deck 11: Pressure in Fluids
1
Determine the force applied tangentially to a bar of a screw-jack at a radius of 60 cm, if the torque required is 750 N m.
2
Calculate the torque developed by a motor whose spindle is rotating at 900 rev/min and developing a power of 4.20 kW.
3
A motor connected to a shaft develops a torque of 8 kN m. Determine the number of revolutions made by the shaft if the work done is 7.2 MJ
4
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5
An electric motor has an efficiency of 72% when running at 1400 rev/min. Determine the output torque when the power input is 2.50 kW
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6
A circular piston exerts a pressure of 150 kPa on a fluid when the force applied to the piston is 0.5 kN. Calculate the diameter of the piston, correct to the nearest millimetre.
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7
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8
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9
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10
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11
A block of aluminium having a mass of 20 kg cools from a temperature of 250C to 80C. How much energy is lost by the aluminium? Assume the specific heat capacity of aluminium is 950 J/(kg C).
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12
Calculate the heat energy required to convert completely 12 kg of water at 30C to superheated steam at 100C. Assume that the specific heat capacity of water is 4200 J/(kg C) and the specific latent heat of vaporisation of water is 2260 kJ/(kg C).
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13
An electric furnace has an efficiency of 62% and is rated at 7.5 kW. 20 kg of copper at 23°C is placed in the furnace until it melts at 1079°C. If the specific heat capacity of copper is assumed to be 0.39 kJ/(kg°C) and the latent heat of fusion is 180 kJ/(kg°C), calculate the time taken for the furnace to melt the copper.
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