Question

For a circular rotating disc with radius r=20cm, on the disc there are 5 equally spaced gears, using the lang sensor to measure the bar conversion distance to establish the displacement distance formula. What is the displacement distance formula?

Answer 1

The displacement distance for a gear on a rotating disc is given by the formula X = rθ, where X is the displacement distance, r is the radius of the disc, and θ is the angle of rotation in radians.

Step-by-step explanation:

In physics, the displacement distance for a circular rotating disc with gears can be determined using the relationship between the arc length (As) and the radius (r) of the disc. The arc length is determined by the product of the radius and the angle of rotation in radians (θ).

To find the displacement distance of a gear on the edge of the disc, you can use the formula:

X = rθ

Where X represents the displacement distance, r is the radius of the disc, and θ is the angle of rotation in radians.

If the disc rotates through an angle Ao, the As which is the distance a gear travels on the circumference, can be found by multiplying the radius by the angle in radians. If you know the number of rotations or the time and angular velocity or angular acceleration, these can be used to calculate θ and thus the displacement distance.