Mechanics velocity of disc question

Thread starter themster
Start date Apr 2, 2013
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Disc Mechanics Velocity

In summary, velocity is a vector quantity in mechanics that describes an object's rate of change in position over time. It is calculated by dividing the change in position by the change in time. There is a difference between average velocity and instantaneous velocity, with average velocity being calculated over a period of time and instantaneous velocity being calculated at a specific moment. Velocity has a significant impact on the motion of a disc, determining both its speed and direction. The velocity of a disc can also change during its motion due to external forces.

Apr 2, 2013

themster

Homework Statement

The disc rolls without sliding on the curved surface. What is the velocity of point A attached to the disc?
Ans: 1.69 m/s, directed at 45o upwards.

Homework Equations

v=ωR

The Attempt at a Solution

v=ωR = 10rad/s * 40mm

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Apr 4, 2013

tiny-tim

Science Advisor

Homework Helper

hi themster!

use vector addition for the relative velocities (disc-arm and arm-earth) …

show us what you get

1. What is the definition of velocity in mechanics?

Velocity is a vector quantity that describes the rate of change of an object's position with respect to time. It includes both the speed and direction of an object's motion.

2. How is velocity calculated in mechanics?

Velocity is calculated by dividing the change in an object's position by the change in time. This can be represented by the equation v = Δx/Δt, where v is velocity, Δx is change in position, and Δt is change in time.

3. What is the difference between average velocity and instantaneous velocity?

Average velocity is the total displacement divided by the total time taken, while instantaneous velocity is the velocity at a specific point in time. Average velocity can be calculated over a large time interval, while instantaneous velocity can only be calculated at a specific moment.

4. How does velocity affect the motion of a disc?

Velocity plays a crucial role in determining the motion of a disc. The greater the velocity, the faster the disc will move and the further it will travel. Additionally, the direction of the velocity vector will determine the direction of the disc's motion.

5. Can the velocity of a disc change during its motion?

Yes, the velocity of a disc can change during its motion. This can occur if there is a change in the disc's speed, direction, or both. Changes in velocity can be caused by external forces acting on the disc, such as friction or a change in applied force.