Calculating Force and Power for Pushing Pallets

[vjov]

Push the pallet!

Hi,
I'm stucked with this: a guy push the pallet with the hand pallet forklift over the 5 degrees slope, 2m long.. the pallet is 400kg, what is the force he needs? I don't have any friction factor for wheels, is there any general factor accurate enough? How to include acceleration prior the slope? How to calculate power? HELP:)

 

[mgb_phys]

You are probably supposed to ignore friction.
Draw a diagram of the pallet on the slope
Find the components of the weight along the slope ( hint: should this be a large or small part of the weight)

 

[m2003]

Calculating the force required to push a pallet up a 5 degree slope involves several factors that need to be taken into consideration. First, we need to determine the weight of the pallet in Newtons, since force is measured in Newtons. To do this, we can use the formula F=mg, where m is the mass of the pallet (400kg) and g is the acceleration due to gravity (9.8 m/s^2). This gives us a weight of 3,920 Newtons.

Next, we need to consider the angle of the slope (5 degrees) and the length of the slope (2 meters). This information allows us to calculate the vertical height of the slope using the formula h = l*sin(θ), where h is the height, l is the length, and θ is the angle in radians. In this case, h = 0.175 meters.

Now we can use the formula F = mg*sin(θ) to calculate the force required to push the pallet up the slope. Plugging in the values we have, we get F = (400kg)*(9.8 m/s^2)*sin(5 degrees) = 34.2 Newtons.

In terms of including acceleration prior to the slope, we would need to know the initial velocity of the pallet and the acceleration rate. With this information, we could use the formula F = ma to calculate the force required to accelerate the pallet to the necessary speed before reaching the slope.

To calculate power, we need to know the work done by the person pushing the pallet and the time it takes to push it up the slope. Work is calculated using the formula W = F*d, where W is work, F is force, and d is distance. In this case, the distance is the height of the slope (0.175 meters) and the force is the value we calculated earlier (34.2 Newtons). If we assume it takes 5 seconds to push the pallet up the slope, then power can be calculated as P = W/t = (34.2 N * 0.175 m)/5 s = 1.197 Watts.

As for the friction factor for the wheels, this would depend on the type of wheels and the surface they are rolling on. Without this information, it is difficult to accurately calculate the force and power required. However, it is safe to assume that there will be some friction present and therefore the force and power