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A 1:20 model of a spillway dissipated 0.25 hp. The corresponding prototype horsepower dissipated will be ______ hp. (Answer up to two decimal places)
Correct answer is '8944.30'. Can you explain this answer?
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A 1:20 model of a spillway dissipated 0.25 hp. The corresponding prot...
We have
Linear Scale ratio Lr = 20, Pm = 0.25 hp
Power ratio for prototype and model is given by
Pp/Pm =(20)3.5 x 0.25
= 8944.30 hp
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A 1:20 model of a spillway dissipated 0.25 hp. The corresponding prot...
Given:
- Model scale: 1:20
- Model power dissipated: 0.25 hp
To find:
- Prototype power dissipated
Assumption:
- The model and prototype have similar geometric properties.
Formula:
- Power ratio (P_ratio) = (Model power/Prototype power) = (Model scale)^3
Solution:
Step 1: Calculate the power ratio (P_ratio)
- We are given that the model power is 0.25 hp.
- The scale of the model is 1:20, which means the model is 1/20th the size of the prototype.
- To calculate the power ratio, we need to cube the scale factor: P_ratio = (1/20)^3 = 1/8000.
Step 2: Calculate the prototype power dissipated
- The power ratio represents the ratio of power dissipated between the model and the prototype.
- Therefore, the prototype power dissipated is given by: Prototype power = Model power / P_ratio.
- Substituting the given values: Prototype power = 0.25 hp / (1/8000) = 0.25 hp * 8000 = 2000 hp.
Answer:
The corresponding prototype power dissipated is 2000 hp.
- Model scale: 1:20
- Model power dissipated: 0.25 hp
To find:
- Prototype power dissipated
Assumption:
- The model and prototype have similar geometric properties.
Formula:
- Power ratio (P_ratio) = (Model power/Prototype power) = (Model scale)^3
Solution:
Step 1: Calculate the power ratio (P_ratio)
- We are given that the model power is 0.25 hp.
- The scale of the model is 1:20, which means the model is 1/20th the size of the prototype.
- To calculate the power ratio, we need to cube the scale factor: P_ratio = (1/20)^3 = 1/8000.
Step 2: Calculate the prototype power dissipated
- The power ratio represents the ratio of power dissipated between the model and the prototype.
- Therefore, the prototype power dissipated is given by: Prototype power = Model power / P_ratio.
- Substituting the given values: Prototype power = 0.25 hp / (1/8000) = 0.25 hp * 8000 = 2000 hp.
Answer:
The corresponding prototype power dissipated is 2000 hp.
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A 1:20 model of a spillway dissipated 0.25 hp. The corresponding prototype horsepower dissipated will be ______ hp. (Answer up to two decimal places)Correct answer is '8944.30'. Can you explain this answer?
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A 1:20 model of a spillway dissipated 0.25 hp. The corresponding prototype horsepower dissipated will be ______ hp. (Answer up to two decimal places)Correct answer is '8944.30'. Can you explain this answer? 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 A 1:20 model of a spillway dissipated 0.25 hp. The corresponding prototype horsepower dissipated will be ______ hp. (Answer up to two decimal places)Correct answer is '8944.30'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 1:20 model of a spillway dissipated 0.25 hp. The corresponding prototype horsepower dissipated will be ______ hp. (Answer up to two decimal places)Correct answer is '8944.30'. Can you explain this answer?.
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