Tangential/Normal Components etc.

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In summary, the tangential and normal components are two types of vectors that describe the motion of an object in a two-dimensional space. They are related to velocity, with the tangential component affecting the speed of the object and the normal component affecting the direction of motion. These components can be calculated using trigonometric functions. The difference between tangential and normal acceleration is that tangential acceleration affects speed while normal acceleration affects direction. In circular motion, the tangential component is responsible for changes in speed while the normal component is responsible for changes in direction, also known as centripetal acceleration.
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salman213
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1. A path is defined by the function y=1/20 x^2. One instant x=10m and y= 5 m the speed is 6 m/s and increasing at 2 m/s^2.

a)Find the directional angle of the velocity from the horizontal?
The answer is 45 degrees

b)What is the radius of curvature of her path at this instant?
The answer is 28.28 m



3. Can anyone give any hints onto how I should start this problem I am really confused!
 
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any ideas?
 
  • #3
It's a standard dynamics problem. Why don't you go ahead and check your textbook and then post your attempt.
 

1. What are tangential and normal components?

The tangential and normal components are two types of vectors that describe the motion of an object in a two-dimensional space. The tangential component is parallel to the motion of the object, while the normal component is perpendicular to the motion.

2. How are tangential and normal components related to velocity?

The tangential and normal components are components of the velocity vector. The tangential component is the component of velocity that affects the speed of the object, while the normal component affects the direction of motion.

3. How are tangential and normal components calculated?

The tangential and normal components can be calculated using trigonometric functions. The tangential component is calculated by multiplying the magnitude of the velocity by the cosine of the angle between the velocity vector and the x-axis. The normal component is calculated by multiplying the magnitude of the velocity by the sine of the angle between the velocity vector and the x-axis.

4. What is the difference between tangential and normal acceleration?

Tangential acceleration is the component of acceleration that affects the speed of an object, while normal acceleration affects the direction of motion. Tangential acceleration is caused by a change in the magnitude of velocity, while normal acceleration is caused by a change in the direction of velocity.

5. How do tangential and normal components affect circular motion?

In circular motion, the tangential component is responsible for the change in speed of the object, while the normal component is responsible for the change in direction. The normal component is also known as centripetal acceleration and is always directed towards the center of the circle.

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