What is the tangential speed of the ball?

In summary, the problem involves a 0.700 kg ball on a 0.60 m rope attached to a rotating pole. The rope makes an angle of 70.0° with respect to the vertical. To find the tangential speed of the ball, we must analyze the forces acting on it and apply Newton's 2nd law. By breaking the forces into components and equating them, we can find the tangential speed.
  • #1
Smessy
5
0

Homework Statement


A 0.700 kg ball is on the end of a rope that is 0.60 m in length. The ball and rope are attached to a pole and the entire apparatus, including the pole, rotates about the pole's symmetry axis. The rope makes an angle of 70.0° with respect to the vertical as shown. What is the tangential speed of the ball?
? m/s



Homework Equations


v=rw


The Attempt at a Solution



I know that in order to solve this problem I need to find time, but I'm not sure how to do that. I know that I need time to be abel to find w and that r=0.60m I think. Any help would be great. Thank you. There is a picture that is attached to help with the problem.
 

Attachments

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  • #2
Start by analyzing the forces that act on the ball. Apply Newton's 2nd law. Is the ball accelerating?
 
  • #3
It has centripetal acceleration.Break the forces acting into components.You will get relation of T,and another relation with centripetal acc.Equate and u will get V.
 

What is tangential speed?

Tangential speed is the linear speed of an object moving along a circular path. It is the distance traveled per unit of time along the circumference of the circle.

How is tangential speed different from angular speed?

Tangential speed is a measure of the linear velocity of an object, while angular speed is a measure of how quickly the object rotates around a central point. Tangential speed is related to angular speed by the formula v = rω, where v is tangential speed, r is the radius of the circle, and ω is angular speed.

What factors affect the tangential speed of a ball?

The tangential speed of a ball is affected by the radius of the circular path, the angular speed of the ball, and the mass of the ball. It is also affected by external forces such as friction or air resistance.

How is tangential speed calculated?

Tangential speed can be calculated using the formula v = 2πr/T, where v is tangential speed, r is the radius of the circle, and T is the time it takes for the object to complete one full revolution around the circle.

Why is tangential speed important in physics?

Tangential speed is an important concept in physics because it helps us understand the motion of objects moving along circular paths. It is also used in many real-world applications, such as calculating the speed of rotating machinery or the velocity of objects in orbit.

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