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The allowable tension in the belt of a band type brake shown below is 1KN and the coefficient of friction between the belt and the 500mm diameter drum is 0.1. The maximum braking torque that can be applied to the brake is?
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The allowable tension in the belt of a band type brake shown below is ...
Understanding the Problem
The problem involves calculating the maximum braking torque that can be applied to a band type brake with specific parameters.
Given Data
- Allowable tension in the belt (T1): 1 kN (1000 N)
- Diameter of the drum (D): 500 mm (0.5 m)
- Coefficient of friction (μ): 0.1
Calculating Brake Torque
1. Convert Diameter to Radius
- Radius (R) = D/2 = 0.5 m / 2 = 0.25 m
2. Determine the Tension in the Brake
- The effective tension difference (T1 and T2) is influenced by the coefficient of friction.
- The tension on the slack side (T2) can be calculated as:
T2 = T1 * e^(-μθ)
For small angles, we can simplify the friction effect. Without a specific angle, we can assume T2 approaches zero for maximum torque.
3. Calculating Maximum Braking Torque (TB)
- The formula for torque (TB) is given by:
TB = (T1 - T2) * R
- Assuming T2 is negligible, TB = T1 * R = 1000 N * 0.25 m = 250 Nm
Conclusion
The maximum braking torque that can be applied to the brake is 250 Nm. This is derived from the tension in the belt and the radius of the drum, highlighting the importance of friction and tension in braking systems.
The problem involves calculating the maximum braking torque that can be applied to a band type brake with specific parameters.
Given Data
- Allowable tension in the belt (T1): 1 kN (1000 N)
- Diameter of the drum (D): 500 mm (0.5 m)
- Coefficient of friction (μ): 0.1
Calculating Brake Torque
1. Convert Diameter to Radius
- Radius (R) = D/2 = 0.5 m / 2 = 0.25 m
2. Determine the Tension in the Brake
- The effective tension difference (T1 and T2) is influenced by the coefficient of friction.
- The tension on the slack side (T2) can be calculated as:
T2 = T1 * e^(-μθ)
For small angles, we can simplify the friction effect. Without a specific angle, we can assume T2 approaches zero for maximum torque.
3. Calculating Maximum Braking Torque (TB)
- The formula for torque (TB) is given by:
TB = (T1 - T2) * R
- Assuming T2 is negligible, TB = T1 * R = 1000 N * 0.25 m = 250 Nm
Conclusion
The maximum braking torque that can be applied to the brake is 250 Nm. This is derived from the tension in the belt and the radius of the drum, highlighting the importance of friction and tension in braking systems.
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The allowable tension in the belt of a band type brake shown below is 1KN and the coefficient of friction between the belt and the 500mm diameter drum is 0.1. The maximum braking torque that can be applied to the brake is?
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The allowable tension in the belt of a band type brake shown below is 1KN and the coefficient of friction between the belt and the 500mm diameter drum is 0.1. The maximum braking torque that can be applied to the brake is? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about The allowable tension in the belt of a band type brake shown below is 1KN and the coefficient of friction between the belt and the 500mm diameter drum is 0.1. The maximum braking torque that can be applied to the brake is? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The allowable tension in the belt of a band type brake shown below is 1KN and the coefficient of friction between the belt and the 500mm diameter drum is 0.1. The maximum braking torque that can be applied to the brake is?.
The allowable tension in the belt of a band type brake shown below is 1KN and the coefficient of friction between the belt and the 500mm diameter drum is 0.1. The maximum braking torque that can be applied to the brake is? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about The allowable tension in the belt of a band type brake shown below is 1KN and the coefficient of friction between the belt and the 500mm diameter drum is 0.1. The maximum braking torque that can be applied to the brake is? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The allowable tension in the belt of a band type brake shown below is 1KN and the coefficient of friction between the belt and the 500mm diameter drum is 0.1. The maximum braking torque that can be applied to the brake is?.
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