Tangential acceleration problem

In summary, the tangential acceleration of the bug on the rim of the disk is 0.78 m/s squared, the tangential velocity of the bug when the disk is at its final speed is 2.4 m/s, and one second after the bug starts from rest, its tangential acceleration is also 0.78 m/s squared. Additionally, its centripetal acceleration is also 0.78 m/s squared and its total acceleration is 1.11 m/s squared (relative to the tangential acceleration).
  • #1
kagekiri
1
0

Homework Statement



(a) What is the tangential acceleration of a bug on the rim of a 12.0 in. diameter disk if the disk moves from rest to an angular speed of 75 revolutions per minute in 3.0 s?

(b)When the disk is at its final speed, what is the tangential velocity of the bug?

(c) One second after the bug starts from rest, what is its tangential acceleration?


What is its centripetal acceleration?

What is its total acceleration?

° (relative to the tangential acceleration)





Homework Equations



I know for a fact that all of them have to be in m/s squared.

The Attempt at a Solution



(a) 0.78 m/s squared

(b) 2.4 m/s squared

(c) 0.78 m/s squared
 
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  • #2
That's not an attempt at a solution, that is a list of answers. Please show us how you got those answers.
 
  • #3
You probably used a radius of 12.0 inches and not a diameter of 12.0 inches.

The answer to b) should be m/s and not m/s squared
 
  • #4
kamerling said:
You probably used a radius of 12.0 inches and not a diameter of 12.0 inches.

The answer to b) should be m/s and not m/s squared

The unit of accn is m/s^2. All the answers should be in that unit, or equivalent.

Edit: I am extremely sorry. Just an oversight. The answer to (b) should be the unit of speed, as said by kamerling.
 
Last edited:

1. What is tangential acceleration?

Tangential acceleration is the rate of change of an object's tangential velocity, which is the component of its velocity that is parallel to its circular path.

2. How is tangential acceleration related to centripetal acceleration?

Tangential acceleration and centripetal acceleration are both components of an object's total acceleration in circular motion. Tangential acceleration is responsible for changes in speed, while centripetal acceleration is responsible for changes in direction.

3. How do you calculate tangential acceleration?

Tangential acceleration can be calculated using the formula a = r * α, where a is tangential acceleration, r is the radius of the circular path, and α is the angular acceleration, or the rate of change of the object's angular velocity.

4. What factors affect tangential acceleration?

The factors that affect tangential acceleration include the object's mass, the radius of the circular path, and the object's angular velocity or angular acceleration.

5. How is tangential acceleration used in real-life situations?

Tangential acceleration is used in many real-life situations, such as in car racing, roller coaster rides, and satellite orbits. It is also important in sports like ice skating and figure skating, where athletes must control their tangential acceleration to perform certain moves and tricks.

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