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The height of Watt's governor is
- a)directly proportional to the speed
- b)directly proportional to the (speed)2
- c)inversely proportional to the speed
- d)inversely proportional to the (speed)2
Correct answer is option 'D'. Can you explain this answer?
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The height of Watts governor isa)directly proportional to the speedb)d...
Explanation:
Watt's governor is a device used to regulate the speed of an engine by controlling the supply of fuel. It consists of two revolving balls attached to a vertical spindle which is driven by the engine. As the speed of the engine increases, the balls are thrown outwards by centrifugal force, and this movement is transmitted to a valve which controls the fuel supply.
The height of Watt's governor refers to the vertical distance between the two balls when they are at their maximum displacement from the spindle. This height is an important parameter in determining the speed of the engine.
The relationship between the height of Watt's governor and the speed of the engine can be expressed as follows:
- Inversely proportional to the (speed)2
This means that as the speed of the engine increases, the height of the governor decreases, and vice versa. Moreover, the relationship between the height and the speed is not linear, but rather it follows a curve that is proportional to the square of the speed.
The reason for this is that the centrifugal force acting on the balls is proportional to the square of the speed. This force tends to push the balls outwards, and the height of the governor is determined by the balance between this force and the force of gravity acting on the balls.
As the speed of the engine increases, the centrifugal force becomes stronger, and the height of the governor decreases. Conversely, as the speed decreases, the centrifugal force becomes weaker, and the height increases.
Therefore, the correct answer is option D, which states that the height of Watt's governor is inversely proportional to the square of the speed.
Watt's governor is a device used to regulate the speed of an engine by controlling the supply of fuel. It consists of two revolving balls attached to a vertical spindle which is driven by the engine. As the speed of the engine increases, the balls are thrown outwards by centrifugal force, and this movement is transmitted to a valve which controls the fuel supply.
The height of Watt's governor refers to the vertical distance between the two balls when they are at their maximum displacement from the spindle. This height is an important parameter in determining the speed of the engine.
The relationship between the height of Watt's governor and the speed of the engine can be expressed as follows:
- Inversely proportional to the (speed)2
This means that as the speed of the engine increases, the height of the governor decreases, and vice versa. Moreover, the relationship between the height and the speed is not linear, but rather it follows a curve that is proportional to the square of the speed.
The reason for this is that the centrifugal force acting on the balls is proportional to the square of the speed. This force tends to push the balls outwards, and the height of the governor is determined by the balance between this force and the force of gravity acting on the balls.
As the speed of the engine increases, the centrifugal force becomes stronger, and the height of the governor decreases. Conversely, as the speed decreases, the centrifugal force becomes weaker, and the height increases.
Therefore, the correct answer is option D, which states that the height of Watt's governor is inversely proportional to the square of the speed.
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The height of Watts governor isa)directly proportional to the speedb)directly proportional to the (speed)2c)inversely proportional to the speedd)inversely proportional to the (speed)2Correct answer is option 'D'. Can you explain this answer?
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