Answer:
9.14hrs
Explanation:
1 horse power = 745.7 watts
1.5 horse power = 1118.55 watts
1 ft = 0.305 m
24 ft = 7.3152 m
60 ft = 18.288 m
the water tank is spherical, volume of a spherical tank = 3/4 πr³ where is r is the radius of the tank = 7.3152 m / 2 = 3.66 m
volume = 4/3 ( 3.66 m ³) × 3.142 = 205.394 m³
mass of water = density × volume = 205.394 m³ × 1000kg/m³ = 205,394 kg
weight of water = mass × acceleration due to gravity = 205,394 kg × 9.8 = 2012861.2 N
potential energy stored at the height where water was stored = mgh = weight × height = 2012861.2 N × 18.288 m
potential energy stored = energy from the pump = power in watt × t
1118.55 watts × t =2012861.2 N × 18.288 m
t = (2012861.2 N × 18.288 m) / 1118.55 watts = 32846.62 secs = 9.14 hrs
Answer:
I would say all of the above.
Explanation:
Look below for more examples
Answer:
Explanation:
Given:
m=0.504kg
r=5.37mm
metal cylinde factor=2.31
![P_0=1atm](https://tex.z-dn.net/?f=P_0%3D1atm)
we know that
Upward force = Downward force
![P_0A + mg=PA](https://tex.z-dn.net/?f=P_0A%20%2B%20mg%3DPA)
Net force![F=2.31PA-P_0A-mg\\\\ma=2.31(P_0A+mg)-P_0A-mg\\\\ma=1.31P_0A+1.31mg\\\\a=\frac{1.31P_0A}{m}+1.31g\\\\=\frac{1.31\times 1.013\times 10^5 \times \pi \times (7.24\times 10^{-3})^2}{0.504}+(1.31\times 9.8)\\\\a=56.20m/s^2](https://tex.z-dn.net/?f=F%3D2.31PA-P_0A-mg%5C%5C%5C%5Cma%3D2.31%28P_0A%2Bmg%29-P_0A-mg%5C%5C%5C%5Cma%3D1.31P_0A%2B1.31mg%5C%5C%5C%5Ca%3D%5Cfrac%7B1.31P_0A%7D%7Bm%7D%2B1.31g%5C%5C%5C%5C%3D%5Cfrac%7B1.31%5Ctimes%201.013%5Ctimes%2010%5E5%20%5Ctimes%20%5Cpi%20%5Ctimes%20%287.24%5Ctimes%2010%5E%7B-3%7D%29%5E2%7D%7B0.504%7D%2B%281.31%5Ctimes%209.8%29%5C%5C%5C%5Ca%3D56.20m%2Fs%5E2)
A mass suspended from a spring is oscillating up and down, (as stated but not indicated).
A). At some point during the oscillation the mass has zero velocity but its acceleration is non-zero (can be either positive or negative). <em>Yes. </em> This statement is true at the top and bottom ends of the motion.
B). At some point during the oscillation the mass has zero velocity and zero acceleration. No. If the mass is bouncing, this is never true. It only happens if the mass is hanging motionless on the spring.
C). At some point during the oscillation the mass has non-zero velocity (can be either positive or negative) but has zero acceleration. <em>Yes.</em> This is true as the bouncing mass passes through the "zero point" ... the point where the upward force of the stretched spring is equal to the weight of the mass. At that instant, the vertical forces on the mass are balanced, and the net vertical force is zero ... so there's no acceleration at that instant, because (as Newton informed us), A = F/m .
D). At all points during the oscillation the mass has non-zero velocity and has nonzero acceleration (either can be positive or negative). No. This can only happen if the mass is hanging lifeless from the spring. If it's bouncing, then It has zero velocity at the top and bottom extremes ... where acceleration is maximum ... and maximum velocity at the center of the swing ... where acceleration is zero.