Centripetal acceleration formula

  • #1
14
0

Homework Statement


In a certain carnival ride, visitors enter a circular room with radius r=9.1m. The room then begins spinning around its center, reaching an angular speed of 1.7rad/s. What centripetal acceleration do the riders experience?

Homework Equations


ac= v^2/r

The Attempt at a Solution


I believed that ac= v^2/r which would equal .3175824176 or .32 m/s^2

but the answer is 26 m/s^2 and the explanation is Centripetal acceleration is given by ac=rω2. WHY?
 

Answers and Replies

  • #2
944
394
You're given angular speed, and you're trying to plug it into a formula with velocity.
 
  • #3
8
1
Good effort though! You have omega, the formula you want to be using is a = w^2 r substituting w = v/r into the original formula you have.
 
  • #4
14
0
Oh, I see what I did, thank you
 
  • #5
I would rather go with:
v= wr
v =1.7 x 9.1 = 15.47

to find the acceleration:
a = v^2/r
a = (15.47)^2/9.1
a = 231.32/9.1
a = 26.299 ( and can be rounded to 26)
 

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