# 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

### 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 F
_{i}and F_{n} - Find the friction coefficient
- Subtract F
_{f}from F_{i}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 F_{i} = gravitational force x sin╬╕

Force perpendicular to inclined plane is F_{n} = gravitational force x cos╬╕

Force of friction is F_{f} = f x F_{n}

Resultant force F = F_{i} - F_{f}

Acceleration a = F/m

Sliding time t = (ΓêÜ(V_{o}^{2} + 2 x L x a) - V_{o}) / a

Final velocity V = V_{o} + a x t

Loss in Energy ╬öE = m x g x H - m x V^{2}/2

Here, f is the friction coefficient

V_{o} 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.