Hydrostatic Force on a Plane Surface
September 26, 2003
CVEN-3313 Theoretical Fluid Mechanics
Module#1:
1 1. OBJECTIVE
The purpose of this module is to investigate hydrostatic forces on a plane surface under partial and full submersion.
2 2. DESCRIPTION
The apparatus shown in Figure 1 will be used. It consists of a quarter circle block attached to a cantilevered arm with a rectangular surface on the other end. The pivot point on the arm corresponds to the center of radius of the block. With no water in the tank, and no weights on the scale, the arm is horizontal. As weights are added one by one to the scales, water can be added to the tank so that the hydrostatic force balances the weights and bring the arm back to horizontal.
3
Definitions a : height of the rectangular surface of the quarter circle block (m) b : width of the rectangular surface of the quarter circle block (m) g : gravity (=9.81m/s2) k : distance from the pivot point to the bottom of the rectangular surface (m) h : depth of water to the bottom of the rectangular surface (m : not to the bottom of the tank) L : distance from the pivot point to the weights (m) γw : specific weight of water (=9810 N/m3) Mactual : actual mass used to balance the hydrostatic force from experiment (kg) Mtheoretical : theoretical mass necessary to balance the hydrostatic force from calculations (kg)
4
5 3. PROCEDURE
• Use the level bubble on the base to horizontally level the entire apparatus. • Begin with no water in the tank and no weights on the scale. Adjust the counterweight so that balance arm is horizontal. • Add the 50g hook on the scale and hang all nine of the 50g masses. • Add water to the tank until the arm is above the horizontal line. • Open the valve on the orifice and let the water flow out of the tank until the arm comes back to horizontal, and close the valve. Measure and record the height of the water (h) in your table. • Remove one 50g mass
CVEN-3313 Theoretical Fluid Mechanics
Module#1:
1 1. OBJECTIVE
The purpose of this module is to investigate hydrostatic forces on a plane surface under partial and full submersion.
2 2. DESCRIPTION
The apparatus shown in Figure 1 will be used. It consists of a quarter circle block attached to a cantilevered arm with a rectangular surface on the other end. The pivot point on the arm corresponds to the center of radius of the block. With no water in the tank, and no weights on the scale, the arm is horizontal. As weights are added one by one to the scales, water can be added to the tank so that the hydrostatic force balances the weights and bring the arm back to horizontal.
3
Definitions a : height of the rectangular surface of the quarter circle block (m) b : width of the rectangular surface of the quarter circle block (m) g : gravity (=9.81m/s2) k : distance from the pivot point to the bottom of the rectangular surface (m) h : depth of water to the bottom of the rectangular surface (m : not to the bottom of the tank) L : distance from the pivot point to the weights (m) γw : specific weight of water (=9810 N/m3) Mactual : actual mass used to balance the hydrostatic force from experiment (kg) Mtheoretical : theoretical mass necessary to balance the hydrostatic force from calculations (kg)
4
5 3. PROCEDURE
• Use the level bubble on the base to horizontally level the entire apparatus. • Begin with no water in the tank and no weights on the scale. Adjust the counterweight so that balance arm is horizontal. • Add the 50g hook on the scale and hang all nine of the 50g masses. • Add water to the tank until the arm is above the horizontal line. • Open the valve on the orifice and let the water flow out of the tank until the arm comes back to horizontal, and close the valve. Measure and record the height of the water (h) in your table. • Remove one 50g mass