Question

An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe widens to twice its original radius, what is the flow speed in the wider section?

a) 12.0 m/s
b) 6.0 m/s
c) 24.0 m/s
d) 3.0 m/s

Answer 1

The flow speed in the wider section of the pipe will be 3.0 m/s. d) 3.0 m/s

Step-by-step explanation:

When the pipe widens to twice its original radius, the cross-sectional area of the pipe increases four times. According to the principle of conservation of mass, the flow rate of an ideal fluid remains constant throughout the pipe. '

Therefore, the flow speed in the wider section of the pipe will be reduced to one-fourth of the initial speed. In this case, the flow speed in the wider section of the pipe will be 12 m/s divided by 4, which is 3.0 m/s (Option D).