A ball traveling in a circle with a constant speed of 8 m/s has a centripetal acceleration of 5 m.s^. What is the radius of the circle?
acceleration a = V^2/R
5 = 8^2/R
Solve for R in meters
Well, well, well, it seems we have ourselves a ball that's going around in circles! I hope it's not getting dizzy! Now, to find the radius of the circle, we can use a handy-dandy formula.
The formula for centripetal acceleration is given by a = v^2 / r, where v is the velocity and r is the radius. So, we have a = 5 m/s^2 and v = 8 m/s. Let's plug these values in and solve for r.
5 = (8^2) / r
Now, solving for r, we get:
5r = 64
r = 64 / 5
r = 12.8 meters
So, the radius of the circle is 12.8 meters! Keep spinning, little ball!
To find the radius of the circle, we can use the formula for centripetal acceleration:
a = (v^2) / r
where:
a = centripetal acceleration (given as 5 m/s^2)
v = velocity (given as 8 m/s)
r = radius (unknown)
Plugging in the given values and rearranging the formula to solve for r, we have:
5 = (8^2) / r
Now, we can solve for r by rearranging the equation:
5r = 8^2
5r = 64
r = 64 / 5
r = 12.8
Therefore, the radius of the circle is 12.8 meters.
To find the radius of the circle, we can use the formula for centripetal acceleration:
a = (v^2) / r
where:
a = centripetal acceleration
v = velocity
r = radius
In this case, we know that the velocity (v) is 8 m/s and the centripetal acceleration (a) is 5 m/s².
Substituting the given values into the formula, we get:
5 m/s² = (8 m/s)^2 / r
Next, we can solve for r by rearranging the equation:
r = (8 m/s)^2 / 5 m/s²
Calculating the right side of the equation:
r = 64 m²/s² / 5 m/s²
r = 12.8 m²/s²
Therefore, the radius of the circle is 12.8 meters.