The important point here is that volumetric flow rate in the pump and the pipe is the same.
Q = AV, where Q = Volumetric flow rate, A = Cross sectional area, V = velocity
Q (pump) = (π*15^2)/4*2 = 353.43 cm^3/s
Q (pipe) = (π*(3/10)^2)/4*V = 0.071V
Q (pump) = Q (pipe)
0.071V = 353.43 => V = 5000 cm/s
Therefore, the flow of water in the pipe is 5000 cm/s.
Answer:
750 people
Explanation:
From the question,
Number of people in the city = population density×Area of the city
N = D×A.......................... Equagtion 1
Where N = Number of people in the city, D = population density, A = Area of the city.
Given: D = 50 people per square kilometer, A = 1.5×10 square kilometer.
Substitute into equation 1
N = 50(1.5×10)
N = 750 people.
Hence the total number of people in the city is 750 people.
m = mass of the penny
r = distance of the penny from the center of the turntable or axis of rotation
w = angular speed of rotation of turntable
F = centripetal force experienced by the penny
centripetal force "F" experienced by the penny of "m" at distance "r" from axis of rotation is given as
F = m r w²
in the above equation , mass of penny "m" and angular speed "w" of the turntable is same at all places. hence the centripetal force directly depends on the radius .
hence greater the distance from center , greater will be the centripetal force to remain in place.
So at the edge of the turntable , the penny experiences largest centripetal force to remain in place.
red goes to red, black goes to white, yellow goes to green, blue goes to blue.
