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