Advertisements
Advertisements
Question
Multiple Choice Question.
A hydraulic lift is designed to lift heavy objects of maximum mass 2000 kg. The area of cross-section of piston carrying the load is 2.25 × 10-2 m2. What is the maximum pressure the smaller piston would have to bear?
Options
0.8711 × 106 N/m2
0.5862 × 107 N/m2
0.4869 × 105 N/m2
0.3271 × 104 N/m2
Advertisements
Solution
0.8711 × 106 N/m2
Explanation:
Apply Newton’s second law of motion to find the force:
F = mg
Substitute the value mass as m = 2000 kg and acceleration due to gravity as g = 9.81 m/s2 to find the force exerted by the piston.
F = mg
F = 2000 kg × 9.81 m/s2
F = 19620 N
Use the law of pressure
p = `F/A`
Substitute the value of force as F = 19620 N, and area as A = 2.25 × 10–2m2 to calculate the maximum pressure the hydraulic lift can bear.
Pmax = `(19620N)/(2.25 xx 10^-2m^2)`
Pmax = 0.8711 × 106Pa
APPEARS IN
RELATED QUESTIONS
Explain why The blood pressure in humans is greater at the feet than at the brain
Explain why Atmospheric pressure at a height of about 6 km decreases to nearly half of its value at the sea level, though the height of the atmosphere is more than 100 km
Toricelli’s barometer used mercury. Pascal duplicated it using French wine of density 984 kg m–3. Determine the height of the wine column for normal atmospheric pressure.
A large He balloon of volume 1425 m3 is used to lift a payload of 400 kg. Assume that the balloon maintains constant radius as it rises. How high does it rise? [Take y0= 8000 m and `rho_"He"`= 0.18 kg m–3].
The pressure on a surface increases with an increase in the thrust on the surface.
1 kgf = .............. (nearly).
The unit of thrust is ..........
The feet of lizards act like
Name two factors on which the pressure on a surface depends.
It is easier to cut with a sharp knife than with a blunt one. Explain.
A gum bottle rests on its base. If it is placed upside down, how does the thrust change?
How much thrust will be required to exert a pressure of 20,000 Pa on an area of 1 cm2.
The base of a container measures 15 cm × 20 cm. It is placed on a table top. If the weight of the container is 60 N, what is the pressure exerted by the container on the table top?
A boy weighing 60 kgf stands on platform of dimensions 2.5 cm x 0.5 cm. What pressure in pascal does he exert?
The pressure in a liquid at two points in the same horizontal plane are equal. Consider an elevator accelerating upward and a car accelerating on a horizontal road. The above statement is correct in
Consider the situation of the previous problem. Let the water push the left wall by a force F1 and the right wall by a force F2.
In a pressure cooker, the food is cooked faster because ______.
A chapatti maker is a machine which converts balls of dough into chapatties. What effect of force comes into play in this process?
What is thrust?
Explain why the cutting instruments are sharpened.
Why dams are made stronger and thicker at the bottom than at the top?
Give reasons why:
a single nail pricking the body is painful when compared to lying on a bed of nails.
Scuba divers wear special suits to withstand ______.
It is easy to compress a gas whereas liquids are ______.
The net force in a particular direction is called ______.
All flowing substances, both liquids, and gases are called ______.
Hot air is ______ dense than ordinary air.
Pressure is a scalar quantity because ______.
- it is the ratio of force to area and both force and area are vectors.
- it is the ratio of the magnitude of the force to area.
- it is the ratio of the component of the force normal to the area.
- it does not depend on the size of the area chosen.
