Question

С какой силой действует вода на прямоугольную плотину высотой 75м и шириной 120 м ,когда водохранилище заполнено на 2/3

Answer 1

1. Находим глубину водохранилища:
h= 2/3*75 = 50 м
2. Находим площадь, на которую давит вода:
S=120*50=6000 м²
3. Давление на плотину:
p = ρ*g*h=1000*10*50 = 500 000 Па
4. Сила давления:
F = p*S = 50 000*6 000 = 300 000 000 Н = 300 МН

Answer 2

Calculation of the Force Exerted by Water on a Rectangular Dam

To calculate the force exerted by water on a rectangular dam, we need to consider the height and width of the dam, as well as the fill level of the reservoir. In this case, the dam has a height of 75 meters and a width of 120 meters, and the reservoir is filled to 2/3 of its capacity.

The force exerted by water on a dam can be calculated using the formula:

Force = Pressure x Area

To find the pressure, we can use the formula:

Pressure = Density x Gravity x Height

where: - Density is the density of water (approximately 1000 kg/m^3) - Gravity is the acceleration due to gravity (approximately 9.8 m/s^2) - Height is the height of the water column above the base of the dam

Let's calculate the force exerted by water on the dam step by step.

1. Calculate the pressure: - Density of water: 1000 kg/m^3 - Gravity: 9.8 m/s^2 - Height of the water column: 2/3 of 75 meters

Pressure = 1000 kg/m^3 x 9.8 m/s^2 x (2/3) x 75 meters

2. Calculate the area of the dam: - Width: 120 meters - Height: 75 meters

Area = 120 meters x 75 meters

3. Calculate the force: - Pressure: calculated in step 1 - Area: calculated in step 2

Force = Pressure x Area

Now, let's calculate the force using the given values.

Calculation:

1. Calculate the pressure: - Density of water: 1000 kg/m^3 - Gravity: 9.8 m/s^2 - Height of the water column: 2/3 of 75 meters

Pressure = 1000 kg/m^3 x 9.8 m/s^2 x (2/3) x 75 meters

The pressure exerted by the water on the dam is approximately 1,960,000 Newtons per square meter.

2. Calculate the area of the dam: - Width: 120 meters - Height: 75 meters

Area = 120 meters x 75 meters

The area of the dam is approximately 9,000 square meters.

3. Calculate the force: - Pressure: calculated in step 1 - Area: calculated in step 2

Force = Pressure x Area

Force = 1,960,000 Newtons per square meter x 9,000 square meters

The force exerted by the water on the rectangular dam is approximately 17,640,000 Newtons.

Please note that these calculations are based on the given dimensions and assumptions.