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Torque to weight ratio for a circular shaft transmitting power is directly proportional to the
- a)square root of the diameter
- b)diameter
- c)square of the diameter
- d)cube of the diameter
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Torque to weight ratio for a circular shaft transmitting power is dire...
In geometry, a diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle. It can also be defined as the longest chord of the circle. Both definitions are also valid for the diameter of a sphere.
In more modern usage, the length of a diameter is also called the diameter. In this sense one speaks of the diameter rather than a diameter (which refers to the line itself), because all diameters of a circle or sphere have the same length, this being twice the radius r.
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Torque to weight ratio for a circular shaft transmitting power is dire...
Torque to weight ratio for a circular shaft transmitting power is directly proportional to the diameter. This can be explained using the principles of mechanics and the relationship between torque, power, and diameter.
1. Torque and Power:
Torque is the rotational force applied to an object, while power is the rate at which work is done or energy is transferred. In the case of a circular shaft transmitting power, torque is required to rotate the shaft and transmit power from the source to the load.
2. Torque and Diameter:
The torque required to rotate a shaft is directly proportional to its diameter. This can be understood by considering the formula for torque, which is given by the product of force and the perpendicular distance from the axis of rotation. In the case of a circular shaft, the force is the tangential force applied at the circumference, and the distance is the radius.
3. Torque to Weight Ratio:
The torque to weight ratio is a measure of the efficiency and performance of a shaft. It indicates how much torque can be generated for a given weight of the shaft. A higher torque to weight ratio means that the shaft is capable of transmitting more power with less weight.
4. Relationship with Diameter:
The torque to weight ratio is directly proportional to the diameter of the shaft. This means that as the diameter increases, the torque to weight ratio also increases. This relationship can be explained by considering the formula for torque, which shows that torque is directly proportional to the diameter.
5. Implications:
A higher torque to weight ratio is desirable in many applications, as it allows for the transmission of greater power with less weight. This is particularly important in industries such as aerospace, where weight reduction is critical for fuel efficiency and performance. By increasing the diameter of the shaft, engineers can improve the torque to weight ratio and optimize the design for better performance.
In conclusion, the torque to weight ratio for a circular shaft transmitting power is directly proportional to the diameter. Increasing the diameter of the shaft improves the torque to weight ratio, allowing for the transmission of greater power with less weight.
1. Torque and Power:
Torque is the rotational force applied to an object, while power is the rate at which work is done or energy is transferred. In the case of a circular shaft transmitting power, torque is required to rotate the shaft and transmit power from the source to the load.
2. Torque and Diameter:
The torque required to rotate a shaft is directly proportional to its diameter. This can be understood by considering the formula for torque, which is given by the product of force and the perpendicular distance from the axis of rotation. In the case of a circular shaft, the force is the tangential force applied at the circumference, and the distance is the radius.
3. Torque to Weight Ratio:
The torque to weight ratio is a measure of the efficiency and performance of a shaft. It indicates how much torque can be generated for a given weight of the shaft. A higher torque to weight ratio means that the shaft is capable of transmitting more power with less weight.
4. Relationship with Diameter:
The torque to weight ratio is directly proportional to the diameter of the shaft. This means that as the diameter increases, the torque to weight ratio also increases. This relationship can be explained by considering the formula for torque, which shows that torque is directly proportional to the diameter.
5. Implications:
A higher torque to weight ratio is desirable in many applications, as it allows for the transmission of greater power with less weight. This is particularly important in industries such as aerospace, where weight reduction is critical for fuel efficiency and performance. By increasing the diameter of the shaft, engineers can improve the torque to weight ratio and optimize the design for better performance.
In conclusion, the torque to weight ratio for a circular shaft transmitting power is directly proportional to the diameter. Increasing the diameter of the shaft improves the torque to weight ratio, allowing for the transmission of greater power with less weight.
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Torque to weight ratio for a circular shaft transmitting power is directly proportional to thea)square root of the diameterb)diameterc)square of the diameterd)cube of the diameterCorrect answer is option 'B'. Can you explain this answer?
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