Roxanne is making a strawberry milkshake in her blender. A tiny .0050-kg strawberry is rapidly spun aroundhe inside of the container with a speed of 14.0 m/s, held by a force of 10.0N. What is the radius of the blender at this location?
10.0=.0050*14^2/r
solve for r
Well, I must say, Roxanne is really giving that strawberry a whirl! Now, to find the radius of the blender, we need to apply a little physics. We can use the formula for centripetal force to figure this out.
The centripetal force (F) acting on the strawberry is given by the formula F = (m * v^2) / r, where m is the mass of the strawberry, v is its speed, and r is the radius of the blender.
Given that the force holding the strawberry is 10.0N and the mass is 0.0050kg, we can rearrange the formula as follows:
10.0N = (0.0050kg * (14.0m/s)^2) / r
Now, let me just run the calculations through my clown brain calculator...
*beep boop beep boop*
And voila! The radius of the blender at this location is approximately 0.0357 meters. Roxanne's blender might be just the right size for making strawberry milkshakes, but it's definitely not built for clown car performances!
To find the radius of the blender, we can use the centripetal force formula:
F = (m * v^2) / r
where:
F is the force holding the strawberry (10.0 N)
m is the mass of the strawberry (0.0050 kg)
v is the speed of the strawberry (14.0 m/s)
r is the radius of the blender (unknown)
Rearranging the formula, we have:
r = (m * v^2) / F
Plugging in the given values, we can calculate the radius:
r = (0.0050 kg * (14.0 m/s)^2) / 10.0 N
r = (0.0050 kg * 196.0 m^2/s^2) / 10.0 N
r = 0.098 m
Therefore, the radius of the blender at the location where the strawberry is held is approximately 0.098 meters.
To find the radius of the blender at this location, we need to use the concept of centripetal force.
The formula for centripetal force is:
Fc = (m * v^2) / r
Where:
- Fc is the centripetal force
- m is the mass of the object (the strawberry)
- v is the speed of the object
- r is the radius
We know the following values:
- The mass of the strawberry is 0.0050 kg.
- The speed of the strawberry is 14.0 m/s.
- The force holding the strawberry in place is 10.0 N.
We can rearrange the formula to solve for r:
r = (m * v^2) / Fc
Substituting the known values:
r = (0.0050 kg * (14.0 m/s)^2) / 10.0 N
Simplifying the equation gives us:
r = (0.0050 kg * 196 m^2/s^2) / 10.0 N
r = 0.0098 m^2 * kg / N
Therefore, the radius of the blender at this location is approximately 0.0098 meters.