Solving for g on an inclined plane

In summary, to solve for g in terms of d, t, and theta on an inclined plane, we use the equation d=Vit + .5a*t^2 and solve for g, getting g=2d/(sin theta*t^2). This is correct for the given conditions.
  • #1
mysticbms
8
0

Homework Statement


Solve for g in terms of d, t, and theta on an inclined plane.



Homework Equations


Fnet=ma and d=Vit + .5a*t^2


The Attempt at a Solution


Solving for a on an inclined plane I get g*sin theta.

Using the equation for constant acceleration d=Vit + .5a*t^2 I solve for g.

Vi is 0 on an initial plane so I have d=.5(g*sin theta)t^2

g=2d/(sin theta*t^2)

Is this correct?
 
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  • #2
mysticbms said:

Homework Statement


Solve for g in terms of d, t, and theta on an inclined plane.



Homework Equations


Fnet=ma and d=Vit + .5a*t^2


The Attempt at a Solution


Solving for a on an inclined plane I get g*sin theta.

Using the equation for constant acceleration d=Vit + .5a*t^2 I solve for g.

Vi is 0 on an initial plane so I have d=.5(g*sin theta)t^2

g=2d/(sin theta*t^2)

Is this correct?

Yes, correct.

ehild
 

Related to Solving for g on an inclined plane

What is an inclined plane?

An inclined plane is a flat surface that is tilted at an angle, which allows objects to move up or down with less force than if they were on a flat surface.

What is the formula for solving for g on an inclined plane?

The formula for solving for g on an inclined plane is g = sinθ, where θ is the angle of the inclined plane.

Why do we use an inclined plane to solve for g?

An inclined plane allows us to break down the force of gravity into two components - the normal force (perpendicular to the plane) and the parallel force (down the plane). This makes it easier to calculate the acceleration due to gravity (g) without any other external forces affecting the object.

What factors affect the value of g on an inclined plane?

The value of g on an inclined plane is affected by the angle of the inclined plane, the mass of the object, and the coefficient of friction between the object and the plane.

Can g ever be greater than 9.8 m/s^2 on an inclined plane?

No, g is a constant value and is always equal to 9.8 m/s^2 on Earth, regardless of the angle of the inclined plane.

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