A 5 cm diameter jet of water having a velocity of20 m/s impinges normally on a flat vertical platethat is moving away from the jet with a velocityof 8 m/s. Efficiency of power transmission by jetimpingement is _______ (in percentage) (correctupto two decimal places
Question
A 5 cm diameter jet of water having a velocity of20 m/s impinges normally on a flat vertical platethat is moving away from the jet with a velocityof 8 m/s. Efficiency of power transmission by jetimpingement is _______ (in percentage) (correctupto two decimal places
Solution
The efficiency of power transmission by jet impingement can be calculated using the formula:
Efficiency (η) = [2 * (u - v) * u / v^2] * 100%
where: u = velocity of the plate = 8 m/s v = velocity of the jet = 20 m/s
Substituting the given values into the formula, we get:
η = [2 * (8 - 20) * 8 / 20^2] * 100% η = [-24 / 8] * 100% η = -300%
However, efficiency cannot be negative. This negative value indicates that the plate is moving away from the jet faster than the jet is moving, which means no power is being transmitted. Therefore, the efficiency of power transmission by jet impingement is 0%.
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