Tangential acceleration problem

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Homework Help Overview

The problem involves calculating tangential acceleration, tangential velocity, centripetal acceleration, and total acceleration of a bug on the rim of a rotating disk. The disk has a diameter of 12.0 inches and accelerates from rest to an angular speed of 75 revolutions per minute over a period of 3.0 seconds.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants discuss the calculations for tangential acceleration and tangential velocity, questioning the original poster's provided answers and the units used. There is an emphasis on ensuring the correct interpretation of diameter versus radius in the calculations.

Discussion Status

Some participants have pointed out potential errors in the original poster's calculations and unit usage. There is a call for clarification on how the answers were derived, indicating that the discussion is focused on understanding the reasoning behind the calculations rather than reaching a final conclusion.

Contextual Notes

Participants note the importance of using the correct units for acceleration and speed, and there is an acknowledgment of a possible oversight regarding the use of diameter versus radius in the calculations.

kagekiri
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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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That's not an attempt at a solution, that is a list of answers. Please show us how you got those answers.
 
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
 
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:

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