Instantaneous Speed From Acceleration

AI Thread Summary
To find the instantaneous speed of an object with a given acceleration and radius, one must consider both tangential and radial acceleration components. The tangential acceleration is 5 m/s², and the radial acceleration is 8.66 m/s², indicating circular motion. The relationship between acceleration and instantaneous speed can be explored by determining the time for one complete revolution. By using the formula Ac = Vt/t, where Ac is centripetal acceleration, one can derive the instantaneous speed by multiplying the time for a revolution by the tangential acceleration. Understanding these components clarifies the conversion from acceleration to instantaneous speed in circular motion contexts.
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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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