anonymous
  • anonymous
Is acceleration a dimensionless number?
Physics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
@amistre64
amistre64
  • amistre64
what is the definition of acceleration?
amistre64
  • amistre64
or, if you know how the acceleration due to gravity is defined ... is it dimensionless?

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anonymous
  • anonymous
if the acceleration is equal to the gravity sin theta, then is it dimensionless?\[a=g \sin \Theta\]
anonymous
  • anonymous
and we know the angle is like 40 degrees...
amistre64
  • amistre64
sin(theta) is dimensionless, gravity is not
anonymous
  • anonymous
well, thank you
amistre64
  • 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.
amistre64
  • amistre64
at least thats my view of it
anonymous
  • 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.

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