The diagram below represents how water is funnelled into a pipe and directed to aturbine at a hydroelectric power plant. The force of the falling water rotates theturbine. Each second, 200 m3 of water is funnelled down a vertical shaft to the turbine below. The vertical height through which the water falls upon reaching the turbine is 150 m. Ignore the effects of friction. NOTE: One m3 of water has a mass of 1 000 kg. Calculate the mass of water that enters the turbine each second. Calculate the kinetic energy of this mass of water when entering the turbine. Use the work- energy theorem. Calculate the maximum speed at which this mass of water enters the turbine.
Angular speed, acceleration and displacement
Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.
Angular Position
Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.
The diagram below represents how water is funnelled into a pipe and directed to aturbine at a hydroelectric power plant. The force of the falling water rotates theturbine. Each second, 200 m3 of water is funnelled down a vertical shaft to the turbine below. The vertical height through which the water falls upon reaching the turbine is 150 m. Ignore the effects of friction.
NOTE: One m3 of water has a mass of 1 000 kg.
Calculate the mass of water that enters the turbine each second.
Calculate the kinetic energy of this mass of water when entering the turbine. Use the work- energy theorem.
Calculate the maximum speed at which this mass of water enters the turbine.
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