A large tank containing water of constant density 1000 kg/m³ is fixed to a cart with frictionless wheels as shown in Figure 4(a). Located 1.0 m below the water's free surface is a smoothly contoured nozzle of 20 mm diameter, where jet of water is issued horizontally with a velocity V. The water level in the tank is kept constant by continuously injecting water vertically through a 50 mm diameter downpipe above the top of the tank. The horizontal water jet from the nozzle impinges on a deflector, which redirects the water jet through an angle of 55°. The deflector is mounted rigidly on a separate cart with frictionless wheels, and is held stationary by a spring (A) connected to a sidewall as shown in the figure. The cart with the water tank is held stationary by spring (B) attached to another wall. (b) (c) Determine the velocity of water (U) from the downpipe in order to maintain constant height of water in the tank. Determine the force exerted by spring A to keep the cart carrying the deflector stationary. Determine the force exerted by spring B to keep the cart carrying the water tank stationary. (d) If the water tank, its content and the cart weigh 2.5 kN, what is the total vertical force exerted by the floor on the four wheels of the cart carrying the tank? If the deflector and the cart weigh 50 N, what is the total vertical force exerted by the floor on the four wheels of the cart carrying the deflector? If spring A is now attached to the cart carrying the water tank as shown in Fig 4(b), and the rest remains the same, what is the new force exerted by Spring A and Spring B in order to keep both the carts stationary.
A large tank containing water of constant density 1000 kg/m³ is fixed to a cart with frictionless wheels as shown in Figure 4(a). Located 1.0 m below the water's free surface is a smoothly contoured nozzle of 20 mm diameter, where jet of water is issued horizontally with a velocity V. The water level in the tank is kept constant by continuously injecting water vertically through a 50 mm diameter downpipe above the top of the tank. The horizontal water jet from the nozzle impinges on a deflector, which redirects the water jet through an angle of 55°. The deflector is mounted rigidly on a separate cart with frictionless wheels, and is held stationary by a spring (A) connected to a sidewall as shown in the figure. The cart with the water tank is held stationary by spring (B) attached to another wall. (b) (c) Determine the velocity of water (U) from the downpipe in order to maintain constant height of water in the tank. Determine the force exerted by spring A to keep the cart carrying the deflector stationary. Determine the force exerted by spring B to keep the cart carrying the water tank stationary. (d) If the water tank, its content and the cart weigh 2.5 kN, what is the total vertical force exerted by the floor on the four wheels of the cart carrying the tank? If the deflector and the cart weigh 50 N, what is the total vertical force exerted by the floor on the four wheels of the cart carrying the deflector? If spring A is now attached to the cart carrying the water tank as shown in Fig 4(b), and the rest remains the same, what is the new force exerted by Spring A and Spring B in order to keep both the carts stationary.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:A large tank containing water of constant density 1000 kg/m³ is fixed to a cart with
frictionless wheels as shown in Figure 4(a). Located 1.0 m below the water's free surface
is a smoothly contoured nozzle of 20 mm diameter, where jet of water is issued.
horizontally with a velocity V. The water level in the tank is kept constant by
continuously injecting water vertically through a 50 mm diameter downpipe above the
top of the tank. The horizontal water jet from the nozzle impinges on a deflector, which
redirects the water jet through an angle of 55°. The deflector is mounted rigidly on a
separate cart with frictionless wheels, and is held stationary by a spring (A) connected
to a sidewall as shown in the figure. The cart with the water tank is held stationary by
spring (B) attached to another wall.
(a)
(b)
(c)
(d)
(e)
Determine the velocity of water (U) from the downpipe in order to maintain
constant height of water in the tank.
Determine the force exerted by spring A to keep the cart carrying the deflector
stationary.
Determine the force exerted by spring B to keep the cart carrying the water tank
stationary.
If the water tank, its content and the cart weigh 2.5 kN, what is the total vertical
force exerted by the floor on the four wheels of the cart carrying the tank?
If the deflector and the cart weigh 50 N, what is the total vertical force exerted by
the floor on the four wheels of the cart carrying the deflector?
If spring A is now attached to the cart carrying the water tank as shown in Fig
4(b), and the rest remains the same, what is the new force exerted by Spring A
and Spring B in order to keep both the carts stationary.
Note: You may assume the flow to be inviscid and the deflector to be frictionless. You
may further assume the effect of gravity on the water jet leaving the tank to be
negligible (i.e. the water jet remains horizontal).
Wall:
Wall
50 mm
B
www
Spring
B
www
V
Spring
Qm³/s
Š
Water
O
50 mm
p=1000 kg/m³
V
Um/s
Water
1.0 m
Qm²/s
Downpipe
Um/s
Wheel trolley
1.0 m
Water jet
20 mm
V
-Downpipe
p=1000 kg/m³
55°
New location of Spring B
Deflector
Wall (a)
wwwwww Ground
Spring
Water jet
55°
20 mm
도시
V
Deflector
Wall (b)
Ground
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