Inclined Plane Calculator
The Inclined Plane Calculator is a free and simple tool that quickly calculates essential object properties such as acceleration, sliding time, final velocity, and energy loss. Simply fill in all of the input fields, including item type, mass, angle, friction coefficient, and height, to get the result in a matter of seconds.
Inclined Plane Calculator: Have you been searching for a calculator that provides you the result as well as a full description of the inclined plane? Then you've come to the right place. The definition of the inclined plane, relevant formulas, sample questions, and a step-by-step process for determining the parameters of the inclined plane may all be found here. You can also use our easy-to-use inclined Plane Calculator to get the answer quickly and grasp the concept.
How do you calculate the parameters of an inclined plane?
The detailed step-by-step procedure for solving inclined plane problems is outlined below. To obtain the inclined plane, students must carefully follow these directions.
- Take a note of the sliding object's given parameters from the query.
- Compute the gravitational force, which is equal to the product of the object mass and gravity's acceleration.
- Divide the gravitational force into two parts, Fi and Fn
- Calculate the coefficient of friction
- To get the resulting force, subtract Ff from Fi
- Find the relevant values in the provided formulas.
- As a result, determine the end velocity, acceleration, inclined plane length, and sliding time.
Inclined Plane Formulas
An inclined plane is a rigid sloping surface that can be used to reduce or elevate heavy weights to a specific depth or height. The benefit is that the length of the plank is proportional to the vertical height of the weight lifted. The sloped plane multiplies the force. The lines represent the basic parameters of the inclined plane.
- Slope related to the specified angle ╬╕.
- The maximum level above the ground is measured in height (h).
- The angle's length is the distance between the apex and vertex (L).
- The friction coefficient indicates whether or not a breaking force acts on a moving body or hinders an object from moving.
Force corresponding to inclined plane is Fi = gravitational force*sin╬╕
Force perpendicular to inclined plane is Fn = gravitational force*sin╬╕
Force of friction is Ff=f×Fn
Resultant force F=Fi-Ff
Acceleration, a=F/m
Moving time, t =√(Vo)2+2 L×a- Vo)/a
Final velocity, V=Vo+a(t)
Energy Loss, ΔE=mgH-mV2/2
- Here, f is the friction coefficient
- Vo is the initial velocity
- m is the mass or weight of the object
- H is the height
For more concepts check out physicscalculatorpro.com to get quick answers by using this free tool.
Maximum Height in a Projectile Motion Examples
Question 1: A 300N box is lifted to lorry through the inclined plane. Find the magnitude of force moving to the box if the lorry height is 2m with the length of 4m.
Solution:
As a result,
The box weight w is 300N.
The lorry height h is 2m.
Let l be the length of the inclined plane, l=4m
Formula: Mass parallel to the inclined plane =wsin╬╕
Since, sinθ=h/l⟹sin⁡θ=2/4
sin ╬╕=1/2=0.5
The horizontal component of weight is the same as the force necessary to move the box.
Mass parallel to the inclined plane =w×sinθ
Mass parallel to the inclined plane =3000.5
Therefore, Mass parallel to the inclined plane is 150N
FAQs on Inclined Plane Calculator
1. How do you calculate an inclined plane's acceleration?
Force is defined as the product of mass and acceleration. As a result, the acceleration is calculated by dividing the force by the object's mass along the slope. The Formula for acceleration is a=F/m. Here, F be the force and m be the mass.
2. What kinds of inclined planes can you think of?
Sloping roads, stairs, ploughs, carpenter's planes and wedges, chisels, and hatches are all examples of inclined planes. The most common example is a sloping surface, which is a variation in height between the roadway and the bridge.
3. What are the benefits of using an inclined plane?
The inclined plane allows one to overcome a high resistance by delivering a minimal force over a longer distance than the load to be raised.