A point on the rim of a 0.30-m-radius rotating

In summary, the tangential speed of a point on the rim of a rotating wheel can be calculated using the formula v = ωr, where v is the tangential speed, ω is the angular velocity, and r is the radius. Plugging in the given values of r = 0.30 m and v = 4.0 m/s, we can find ω = 4.0 m/s / 0.30 m = 13.3 rad/s. Then, to find the tangential speed at a point 0.20 m from the center, we use the same formula with the new radius r = 0.20 m, giving us v = 13.3 rad/s *
  • #1
debo
2
0
A point on the rim of a 0.30-m-radius rotating wheel has a tangential speed of 4.0 m/s. What is the tangential speed of a point 0.20 m from the center of the same wheel?

a. 1.0 m/s
b. 1.3 m/s
c. 2.7 m/s
d. 8.0 m/s

i have been trying to do this for hours now.somebody please help
 
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  • #2
What formula do you know that relates tangential speed to radius?
 
  • #3
can anyone help me?
 
  • #4
CompuChip said:
What formula do you know that relates tangential speed to radius?

https://www.physicsforums.com/showthread.php?t=94379. Then, you might want to answer that question. The solution immediately follows (i.e. I cannot make it any easier for you without giving the answer).
 

1. How is the velocity of a point on the rim of a rotating object calculated?

The velocity of a point on the rim of a rotating object can be calculated by multiplying the angular velocity (in radians per second) by the radius of the object.

2. What is the relationship between the angular velocity and linear velocity of a rotating object?

The angular velocity of a rotating object is directly proportional to its linear velocity. This means that as the angular velocity increases, the linear velocity also increases.

3. How does the radius of a rotating object affect its angular velocity?

The radius of a rotating object does not directly affect its angular velocity. However, a larger radius will result in a greater linear velocity at the same angular velocity.

4. What is the difference between tangential velocity and angular velocity?

Tangential velocity refers to the linear velocity of a point on the rim of a rotating object, while angular velocity refers to the rate at which the object rotates. They are related by the formula v = ωr, where v is tangential velocity, ω is angular velocity, and r is the radius of the object.

5. Can the angular velocity of a rotating object change?

Yes, the angular velocity of a rotating object can change if there is an external force acting on the object. This can cause the object to speed up or slow down, changing its angular velocity.

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