The linear velocity with which the wheel must rotate is 7.48 m/s.
The wheel of a car needs to generate a total kinetic energy of 401.0 n to keep the car moving.
If the wheel weighs 6700 g, find the linear velocity with which it must rotate.
Consider the wheel to be a flat cylinder.
Assuming you want the final answer in terms of velocity, we can use the equation:
KE = 1/2×mv²
where KE is the kinetic energy, m is the mass, and v is the velocity.
We can rearrange this equation to solve for velocity ,
v = sqrt(2×KE/m)
Now we just plug in the known values and solve:
v = sqrt(2×401.0 n/6700 g)
v = 7.48 m/s
Hence , the linear velocity with which the wheel must rotate is 7.48 m/s.
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