The pump in a water tower raises water with a density of Qw = 1.00 kg/liter from a filtered lake at the base of the tower up h = 26 m to the highest point of the tower. The water begins at rest in the lake and comes to rest at the highest point of the tower. The pump is 100% efficient in lifting the water, and it raises a volume of Vw = 7.2 liters of water up the tower every second. The water tower sits on a mound that is Te = 35 m above sea level. Let gravitational potential energy be zero at ground level. Part (a) Calculate the power, Pp in Watts, of the pump. Pp= Part (b) If the pump runs for 1.9 hours, calculate the increase in the potential energy, AU, in J, of the water in the tower. AUW = sin() cotan() cos() asin() tan() 7 8 9 HOME acos() E Λ 4 5 atan() acotan() sinh() cosh() tanh() cotanh() Degrees Radians * 1 2 3 + END VO BACKSPACE DEL CLEAR Submit 10 Submission(s) Remaining Hint Feedback I give up! Hints: 0% deduction per hint. Hints remaining: 2 Feedback: 0% deduction per feedback. Submission History All Date times are displayed in Central Standard Time.Red submission date times indicate late work. Date Time Answer Hints Part (c) Feedback Grade Summary Deductions Potential 0% 100% Submissions Attempt(s) Remaining: 10 0% Deduction per Attempt detailed view The water tower, when full, holds 106 liters of water. Calculate the gravitational potential energy of the water, U₁ in J, of a full water tower relative to sea level.
The pump in a water tower raises water with a density of Qw = 1.00 kg/liter from a filtered lake at the base of the tower up h = 26 m to the highest point of the tower. The water begins at rest in the lake and comes to rest at the highest point of the tower. The pump is 100% efficient in lifting the water, and it raises a volume of Vw = 7.2 liters of water up the tower every second. The water tower sits on a mound that is Te = 35 m above sea level. Let gravitational potential energy be zero at ground level. Part (a) Calculate the power, Pp in Watts, of the pump. Pp= Part (b) If the pump runs for 1.9 hours, calculate the increase in the potential energy, AU, in J, of the water in the tower. AUW = sin() cotan() cos() asin() tan() 7 8 9 HOME acos() E Λ 4 5 atan() acotan() sinh() cosh() tanh() cotanh() Degrees Radians * 1 2 3 + END VO BACKSPACE DEL CLEAR Submit 10 Submission(s) Remaining Hint Feedback I give up! Hints: 0% deduction per hint. Hints remaining: 2 Feedback: 0% deduction per feedback. Submission History All Date times are displayed in Central Standard Time.Red submission date times indicate late work. Date Time Answer Hints Part (c) Feedback Grade Summary Deductions Potential 0% 100% Submissions Attempt(s) Remaining: 10 0% Deduction per Attempt detailed view The water tower, when full, holds 106 liters of water. Calculate the gravitational potential energy of the water, U₁ in J, of a full water tower relative to sea level.
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The pump in a water tower raises water with a density of ρw = 1.00 kg/liter from a filtered lake at the base of the tower up hT = 26 m to the highest point of the tower. The water begins at rest in the lake and comes to rest at the highest point of the tower. The pump is 100% efficient in lifting the water, and it raises a volume of Vw = 7.2 liters of water up the tower every second. The water tower sits on a mound that is Te = 35 m above sea level. Let gravitational potential energy be zero at ground level.
Transcribed Image Text:The pump in a water tower raises water with a density of Qw
=
1.00 kg/liter from a filtered lake at the base of the tower up h = 26 m to the highest point of the tower.
The water begins at rest in the lake and comes to rest at the highest point of the tower. The pump is 100% efficient in lifting the water, and it raises a volume of Vw = 7.2
liters of water up the tower every second. The water tower sits on a mound that is Te = 35 m above sea level. Let gravitational potential energy be zero at ground level.
Part (a)
Calculate the power, Pp in Watts, of the pump.
Pp=
Part (b)
If the pump runs for 1.9 hours, calculate the increase in the potential energy, AU, in J, of the water in the tower.
AUW
=
sin()
cotan()
cos()
asin()
tan()
7
8
9
HOME
acos()
E
Λ
4 5
atan() acotan() sinh()
cosh() tanh() cotanh()
Degrees Radians
*
1
2 3
+
END
VO BACKSPACE
DEL CLEAR
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The water tower, when full, holds 106 liters of water. Calculate the gravitational potential energy of the water, U₁ in J, of a full water tower relative to sea level.
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