heavy ball with a weight of 150 N is hung from the ceiling of a lecture hall on a 4.5-m-long rope. The ball is pulled to one sid
e and released to swing as a pendulum, reaching a speed of 5.8 m/s as it passes through the lowest point. What is the tension in the rope at that point?
1 answer:
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Given:
size of scale model = 4(size of pump)
power ratio of pump and scale model = 5:1
Solution:
Let the diameter of scale model and pump be and
respectively
and head be and
respectively
Now, power, P is given as a function of head(H) and dischagre(Q)
P = (1)
From eqn (1):
and
So,
Therefore,
=
=
=
=
=