A rocket sled is to be kept at a constant velocity of 100 m/s by lowering a scoop into a water trough. The scoop is 0.3 m wide; it deflects the water through 150°. a) To what depth, D, must the scoop be lowered in order to keep the sled at a constant velocity if the rocket sled is producing exhaust at 2,000 m/s relative to the sled over an area of 2 m2. b) If the sled weighs 10,000 kg, what is the vertical force on the rail? Use p = 1000 kg/m³ and u= 1.12 x 103 Ns/m? for the water and p = 0.6 kg/m³ and u = 1.5 x 10$ Ns/m² for the rocket exhaust. You can assume uniform flow and the system to be in steady conditions. Also neglect the friction of the sled on the rails, and neglect any change in mass caused by the rocket using up fuel. Rocket Sled Scoop 30° 2 m? Water Trough Rail
A rocket sled is to be kept at a constant velocity of 100 m/s by lowering a scoop into a water trough. The scoop is 0.3 m wide; it deflects the water through 150°. a) To what depth, D, must the scoop be lowered in order to keep the sled at a constant velocity if the rocket sled is producing exhaust at 2,000 m/s relative to the sled over an area of 2 m2. b) If the sled weighs 10,000 kg, what is the vertical force on the rail? Use p = 1000 kg/m³ and u= 1.12 x 103 Ns/m? for the water and p = 0.6 kg/m³ and u = 1.5 x 10$ Ns/m² for the rocket exhaust. You can assume uniform flow and the system to be in steady conditions. Also neglect the friction of the sled on the rails, and neglect any change in mass caused by the rocket using up fuel. Rocket Sled Scoop 30° 2 m? Water Trough Rail
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A rocket sled is to be kept at a constant velocity of 100 m/s by lowering a scoop into a water trough.
The scoop is 0.3 m wide; it deflects the water through 150°.
a) To what depth, D, must the scoop be lowered in order to keep the sled at a constant velocity if
the rocket sled is producing exhaust at 2,000 m/s relative to the sled over an area of 2 m?.
b) If the sled weighs 10,000 kg, what is the vertical force on the rail?
Use p= 1000 kg/m³ and u= 1.12 x 103 Ns/m? for the water and p = 0.6 kg/m³ and µ= 1.5 x 105 Ns/m?
for the rocket exhaust. You can assume uniform flow and the system to be in steady conditions. Also
neglect the friction of the sled on the rails, and neglect any change in mass caused by the rocket using
up fuel.
%D
%3D
Rocket Sled
Scoop
30°
2 m?
Water Trough
Rail
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