## anonymous one year ago Is acceleration a dimensionless number?

1. anonymous

@amistre64

2. amistre64

what is the definition of acceleration?

3. amistre64

or, if you know how the acceleration due to gravity is defined ... is it dimensionless?

4. anonymous

if the acceleration is equal to the gravity sin theta, then is it dimensionless?$a=g \sin \Theta$

5. anonymous

and we know the angle is like 40 degrees...

6. amistre64

sin(theta) is dimensionless, gravity is not

7. anonymous

well, thank you

8. amistre64

a/g = sin(theta) ... the dimensions cancel out to 1 and we are left with sin(theta) as a dimensionless value whose only purpose is to offer some sense of scale to the problem.

9. amistre64

at least thats my view of it

10. anonymous

Another approach. Acceleration is the rate of change of velocity, i.e.$a=\frac{ \Delta v }{ \Delta t }$If you know the dimensions (units) of velocity and time, you can work out the dimension of acceleration.