Speed as a function of theta

In summary, the speed of an object is directly proportional to the angle, theta, at which it is moving. As theta increases, so does the speed of the object. Theta also plays a crucial role in determining the speed and acceleration of an object, with increasing theta resulting in increased speed and decreased acceleration. Additionally, theta is related to the direction of an object's velocity, with changes in theta resulting in changes in direction. There is also a maximum speed, known as terminal velocity, that can be achieved at a specific theta.
  • #1
quantum brain
9
0
a particle is kept on the top of a smooth sphere of radius r.the sphere is provided an acceleration a which is a constant.find the speed of the particle as a function of theta the angle it slides from the sphere
 
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  • #2
Hi quantum brain! :wink:

Show us what you've tried, and where you're stuck, and then we'll know how to help. :smile:
 
  • #3
please post a detailed solution
 
  • #4
quantum brain said:
please post a detailed solution

:rofl: :rofl:
​

that's not the way it works

… please read the forum guidelines! :smile:​
 

1. What is the relationship between speed and theta?

The speed of an object is directly proportional to the angle, theta, at which it is moving. As theta increases, so does the speed of the object.

2. How does theta affect the speed of an object?

Theta plays a crucial role in determining the speed of an object. As theta increases, the speed of the object also increases.

3. Is there a maximum speed that can be achieved at a specific theta?

Yes, there is a maximum speed that can be achieved at a specific theta. This is known as the terminal velocity, which is the highest speed an object can reach when moving through a fluid or gas.

4. Can theta also affect the acceleration of an object?

Yes, theta can also affect the acceleration of an object. As theta increases, the acceleration of the object decreases, and vice versa.

5. How is theta related to the direction of an object's velocity?

The direction of an object's velocity is perpendicular to the angle, theta, at which it is moving. This means that changes in theta will also result in changes in the direction of an object's velocity.

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