A girl sitting on a merry-go-round moves
counterclockwise through an arc length of
3.36m.
If the girl’s angular displacement is 2.96
rad, how far is she from the center of the
merry-go-round?
Answer in units of m.
R = L/φ = 3.36/2.96 =1.135 m
To find how far the girl is from the center of the merry-go-round, we can use the formula that relates arc length, radius, and angular displacement. The formula is:
arc length = radius * angular displacement
Let's rearrange the formula to solve for the radius:
radius = arc length / angular displacement
Now, we can substitute the given values into the formula:
arc length = 3.36 m
angular displacement = 2.96 rad
Plugging these values into the formula, we get:
radius = 3.36 m / 2.96 rad
Calculating this, we find:
radius = 1.135 m
Therefore, the girl is approximately 1.135 meters away from the center of the merry-go-round.