Instantaneous Speed From Acceleration

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Homework Help Overview

The discussion revolves around determining the instantaneous speed of an object given its acceleration, radius of circular motion, and the angle between acceleration components. The subject area includes concepts of circular motion and kinematics.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the relationship between acceleration and instantaneous speed, with one questioning the initial conditions of the motion. Others discuss the conversion of acceleration to speed and suggest methods involving time and tangential velocity.

Discussion Status

The discussion is active, with participants sharing their reasoning and approaches. Some guidance has been offered regarding the relationship between acceleration and speed, but there is no explicit consensus on the method to be used.

Contextual Notes

There is some confusion regarding the initial conditions and the nature of the motion, specifically whether it is circular. Participants are also considering the implications of the angle between acceleration components.

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1. What is the instantaneous speed of an object with acceleration 10 m/ssquared and the radius of the circle is 1.5 m. In addition, the angle between the acceleration and the tangential acceleration is 30 degrees. I've determined that the tangential acceleration is 5 m/ssquared and the radial acceleration is 8.66 m/ssquared but i have no idea how to get to instantaneous speed. How do i get instantaneous speed?
 
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Is the object moving in a circular motion? I am confused to the initial conditions
 
the question is more how do i convert acceleration into instantaneous speed. I have what i need, I'm sure of it, i just can't figure out how to convert it.
 
myes, Ac=Vt/t so find the time for 1 revolution (in what ever units you need) and multiply by the Ac if instantaneous speed is comparable to tangential velocity. Which I am 99% sure it is.
 

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