Find the speed at which water travels in a pipe if the height is
a. 5 cm
b. 8 cm
c. 18 cm
Use the formula v^2=1960(h + 10)
well, I will do 8 cm
8 + 10 = 18
v = sqrt (1960*18)
v = sqrt(35280)
v = 188
To find the speed at which water travels in a pipe, we can use the given formula v^2 = 1960(h + 10).
Let's solve for v, the speed of water.
a. When the height is 5 cm:
Substitute h = 5 into the formula:
v^2 = 1960(5 + 10)
v^2 = 1960(15)
v^2 = 29400
Taking the square root of both sides:
v ≈ √29400
v ≈ 171.3 cm/s
Therefore, when the height is 5 cm, the speed at which water travels in the pipe is approximately 171.3 cm/s.
b. When the height is 8 cm:
Substitute h = 8 into the formula:
v^2 = 1960(8 + 10)
v^2 = 1960(18)
v^2 = 35280
Taking the square root of both sides:
v ≈ √35280
v ≈ 187.8 cm/s
Therefore, when the height is 8 cm, the speed at which water travels in the pipe is approximately 187.8 cm/s.
c. When the height is 18 cm:
Substitute h = 18 into the formula:
v^2 = 1960(18 + 10)
v^2 = 1960(28)
v^2 = 54880
Taking the square root of both sides:
v ≈ √54880
v ≈ 234.1 cm/s
Therefore, when the height is 18 cm, the speed at which water travels in the pipe is approximately 234.1 cm/s.