A wheel has a thin 2.7 kg rim and four spokes each of mass 1.3 kg. Find the kinetic energy of the wheel when it rolls at 6.0 m/s on a horizontal surface.
To find the kinetic energy of the wheel, we need to consider the kinetic energy of both the rim and the spokes.
The kinetic energy of an object can be calculated using the formula:
KE = (1/2) * mass * velocity^2
First, let's find the kinetic energy of the rim. The mass of the rim is given as 2.7 kg, and the velocity is given as 6.0 m/s. Plugging these values into the formula:
KE_rim = (1/2) * 2.7 kg * (6.0 m/s)^2
Next, let's find the kinetic energy of the spokes. The mass of each spoke is given as 1.3 kg, and there are four spokes. So, the total mass of the spokes is 4 * 1.3 kg = 5.2 kg. Again, plugging this value along with the velocity into the formula:
KE_spokes = (1/2) * 5.2 kg * (6.0 m/s)^2
Now, we can find the total kinetic energy of the wheel by summing up the kinetic energy of the rim and the spokes:
KE_total = KE_rim + KE_spokes
Finally, calculate the values to get the answer.