Problem 3 Consider a vane used to redirect a stream of water, as shown below. The thin water film has a thickness of 8 = 10 mm and goes deep into the page. Your goal is to determine the reaction force necessary to keep the vane stationary, as well as the instantaneous acceleration in the absence of a reaction force in the x-direction. The velocity of the jet is 20 m/s and 0 = 35°. Assume the system extends into the page 1 m, and the mass of liquid plus cart is 25 kg. 1. Sketch and annotate an appropriate control volume to calculate reaction forces. 2. Assuming Vyane = 0, calculate the rection forces necessary to keep the vane stationary. 3. Calculate the instantaneous acceleration of the control volume in the absence of a reaction force in the x-direction (Voane = 0). 4. Calculate the instantaneous acceleration at the moment the vane velocity is half the jet velocity. Vrane Vjet
Problem 3 Consider a vane used to redirect a stream of water, as shown below. The thin water film has a thickness of 8 = 10 mm and goes deep into the page. Your goal is to determine the reaction force necessary to keep the vane stationary, as well as the instantaneous acceleration in the absence of a reaction force in the x-direction. The velocity of the jet is 20 m/s and 0 = 35°. Assume the system extends into the page 1 m, and the mass of liquid plus cart is 25 kg. 1. Sketch and annotate an appropriate control volume to calculate reaction forces. 2. Assuming Vyane = 0, calculate the rection forces necessary to keep the vane stationary. 3. Calculate the instantaneous acceleration of the control volume in the absence of a reaction force in the x-direction (Voane = 0). 4. Calculate the instantaneous acceleration at the moment the vane velocity is half the jet velocity. Vrane Vjet
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![Problem 3
Consider a vane used to redirect a stream of water, as shown below. The thin water film
has a thickness of 8 = 10 mm and goes deep into the page. Your goal is to determine the
reaction force necessary to keep the vane stationary, as well as the instantaneous
acceleration in the absence of a reaction force in the x-direction. The velocity of the jet is
20 m/s and 0 = 35°. Assume the system extends into the page 1 m, and the mass of liquid
plus cart is 25 kg.
1. Sketch and annotate an appropriate control volume to calculate reaction forces.
2. Assuming Vyane = 0, calculate the rection forces necessary to keep the vane
stationary.
3. Calculate the instantaneous acceleration of the control volume in the absence of a
reaction force in the x-direction (Voane = 0).
4. Calculate the instantaneous acceleration at the moment the vane velocity is half the
jet velocity.
Vrane
Vjet](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa0b4a173-5f1f-440d-9023-5a06b80a1397%2F3641fe62-0c43-4062-a728-795120b668c4%2F3y7aoa4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem 3
Consider a vane used to redirect a stream of water, as shown below. The thin water film
has a thickness of 8 = 10 mm and goes deep into the page. Your goal is to determine the
reaction force necessary to keep the vane stationary, as well as the instantaneous
acceleration in the absence of a reaction force in the x-direction. The velocity of the jet is
20 m/s and 0 = 35°. Assume the system extends into the page 1 m, and the mass of liquid
plus cart is 25 kg.
1. Sketch and annotate an appropriate control volume to calculate reaction forces.
2. Assuming Vyane = 0, calculate the rection forces necessary to keep the vane
stationary.
3. Calculate the instantaneous acceleration of the control volume in the absence of a
reaction force in the x-direction (Voane = 0).
4. Calculate the instantaneous acceleration at the moment the vane velocity is half the
jet velocity.
Vrane
Vjet
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