water is flowing at rate of 5 km per hour through a pipe of diameter 14 cm into a rectangular tank which is 25 m long and 22 m wide . determine the time in which the level of water in the tank will rise by 21 cm( π = 22/7)
Answers
Answer:
Let the level of water in the tank will rise by 7 cm in x hrs
As the rate of flow of water is 5km/hr.
∴ Its length in x hrs =5x=5000xmetres Water column forms a cylinder whose radius is
⇒r=
2
14
cm=
100
7
m
Volume of water flowing through the cylindrical pipe in x hrs
=πr
2
h
=
7
22
×(
100
7
)
2
×5000x
=77xm
3
Vol. of water that falls into tank
=50×40×
100
7
m
3
=154m
3
But, the volume of water flowing through the cylindrical pipe in x hrs = Vol. of water that falls in a tank in x hrs.
⇒77x=154
∴x=
77
154
=2hr.
Answer:
The amount of heat (H) produced is given by the joule’s law of heating as
H= Vlt
Where,Current (I) = 5 A
Time (t) = 30 s
Voltage (V) = Current x Resistance
V = 5 x 20V = 100V
= 100 x 5 x 30V
= 1.5 x 104 J.
Therefore, the amount of heat developed in the electric iron is 1.5 x 104 J.
Hope it will helps ✌