Inclined Plane Calculator
Inclined Plane Calculator is a free and user-friendly tool that helps to calculate the basic parameters like acceleration, sliding time, final velocity and energy loss of an object within no time. Just enter all the input fields such as object type, mass of the object, angle, friction coefficient and height in the input fields to get the output in a fraction of seconds.
Ex: 10, 167, 48, 34.5 or 90
Inclined Plane Calculator: Have you been looking for a calculator that provides the output along with the detailed explanation on the inclined plane? Then, this is the correct page for you. Here, you will find the definition of the inclined plane, useful formulas, example questions and step by step process to find the parameters of the inclined plane. You can also make use of our handy inclined Plane Calculator to get the result instantly and understand the concept easily.
How to Compute Inclined Plane Parameters?
Below mentioned is the detailed step by step process to solve the inclined plane problems easily. Students have to make use of these instructions carefully to get the inclined plane.
- Make a note of the given parameters of the sliding object from the question.
- Calculate the gravitational force which is the product of the object mass and acceleration due to gravity
- Divide the gravitational force into two components namely Fi and Fn
- Find the friction coefficient
- Subtract Ff from Fi to get the resultant force.
- Substitute the obtained values in given formulas.
- Thus, obtain the final velocity, acceleration, length of the inclined plane and sliding time.
Inclined Plane & Formulas
An inclined plane is a rigid sloping surface over which heavy loads can be lowered or raised to a certain depth or height. The advantage is it is the ratio of the length of the plank to the vertical height of the load raised. The inclined plane acts as a force multiplier.
The basic parameters of the inclined plane are along the lines.
- Slope associated with the mentioned angle ╬╕.
- Height (h) is the maximum level above the ground.
- The distance between the apex and vertex at the angle ╬╕ is length (L).
- The friction coefficient denotes the existence of a breaking force that affects the body in motion or prevents the object from moving.
Formulas of Inclined Plane
Force parallel to inclined plane is Fi = gravitational force x sin╬╕
Force perpendicular to inclined plane is Fn = gravitational force x cos╬╕
Force of friction is Ff = f x Fn
Resultant force F = Fi - Ff
Acceleration a = F/m
Sliding time t = (√(Vo2 + 2 x L x a) - Vo) / a
Final velocity V = Vo + a x t
Loss in Energy ΔE = m x g x H - m x V2/2
Here, f is the friction coefficient
Vo is the initial velocity
m is the object mass or weight
H is the height
Example:
Question: A 500 N box raised to truck through the inclined plane. If the truck height is 1.5 meters, find the magnitude of force moving to the box.
Solution:
Given that,
Weight of the box w = 500 N
Height of the truck h = 1.5 m
Length of inclined plane l = 3 meters
sin ╬╕ = 1.5/3 = 0.5
The force required to move the box is the same as the horizontal component of weight
Weight parallel to incline plane = w sin╬╕ = 500 x 0.5
= 250 N
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FAQs on Inclined Plane Calculator
1. How do you find the acceleration of an inclined plane?
We already know that force is the product of mass and acceleration. So, the acceleration is obtained by dividing the force by the mass of the object along the ramp. Its formula is acceleration = Force/Mass.
2. What are the examples of inclined planes?
Some of the examples of the inclined planes are sloping roads, ramps, plows, carpenter's planes and wedges, chisels, hatches. The most seen example is the sloped surface which is the roadway to bridge having height difference.
3. What is the advantage of an inclined plane?
The inclined plane permits one to overcome a large resistance by applying a small force through a longer distance than the load to be raise.
