Power up and incline with friction

In summary: Just think about the forces acting on the block and how they relate to the power supplied by the winch.In summary, the block of granite is being pulled up an incline at a constant speed of 1.13 m/s by a steam winch. The angle of inclination is 29 ° and the coefficient of kinetic friction between the block and the incline is 0.12. To determine the power supplied by the winch, the equation T= uW/cos(theta)+u*sin(theta) can be used, where T is the tension, u is the coefficient of kinetic friction, W is the weight, and theta is the angle of inclination. The equation P=Fv can also be used, where P is power,
  • #1
Kajayacht
29
0

Homework Statement


A 1400 kg block of granite is pulled up an incline that has an angle of inclination θ = 29 ° with a constant speed of 1.13 m/s by a steam winch (see Figure). The coefficient of kinetic friction between the block and the incline is 0.12. How much power must be supplied by the winch?


Homework Equations


T= uW/cos(theta)+u*sin(theta)
P=Fv


The Attempt at a Solution


T= .12(1400*9.8)/cos(29)+.12*sin(29)
T= 1765.0 N

P= FV
P= 1765*1.13
P= 1994.5 W
 
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  • #2
Kajayacht said:

Homework Statement


A 1400 kg block of granite is pulled up an incline that has an angle of inclination θ = 29 ° with a constant speed of 1.13 m/s by a steam winch (see Figure). The coefficient of kinetic friction between the block and the incline is 0.12. How much power must be supplied by the winch?


Homework Equations


T= uW/cos(theta)+u*sin(theta)
P=Fv

3. The Attempt at a Solution
T= .12(1400*9.8)/cos(29)+.12*sin(29)
T= 1765.0 N

P= FV
P= 1765*1.13
P= 1994.5 W

That equation does not look correct
 
  • #3
wait do you mean the equation itself or I put in the values wrong?
 
  • #4
Kajayacht said:
wait do you mean the equation itself or I put in the values wrong?

That equation is incorrect.
 
  • #5
Figured that much, but I was hopeful.

Could you give me a hint or something, I think I might now the equations I need but my notebook is at my dorm right now and my next class is about to start.
 
  • #6
Kajayacht said:
Figured that much, but I was hopeful.

Could you give me a hint or something, I think I might now the equations I need but my notebook is at my dorm right now and my next class is about to start.

Tension is going to equal the frictional resistance and the weight down the incline.

You don't need your notebook.
 

FAQ: Power up and incline with friction

What is the concept of "power up and incline with friction"?

Power up and incline with friction refers to the physical phenomenon of an object moving up an inclined surface while encountering frictional forces. This concept is commonly studied in physics and engineering.

How is power related to moving up an incline with friction?

The power required to move an object up an incline with friction is dependent on several factors, including the mass of the object, the angle of the incline, and the coefficient of friction between the object and the surface. In general, a greater power is required to overcome the frictional forces and move the object up the incline.

What is the difference between static and kinetic friction in regards to inclines?

Static friction refers to the force that must be overcome in order for an object to start moving up an incline. Once the object is in motion, it encounters kinetic friction, which is the force that must be continuously overcome to keep the object moving up the incline.

How does the angle of the incline affect the power required to move up with friction?

The angle of the incline has a significant impact on the power required to move an object up with friction. As the angle increases, the force of gravity pulling the object down the incline also increases, resulting in a greater power needed to overcome this force and move the object up the incline.

What are some real-world applications of power up and incline with friction?

This concept has many practical applications, such as designing efficient ramps and lifts for wheelchair accessibility, calculating the power needed for a vehicle to climb a hill, and determining the optimal angle for a ski slope to minimize friction and maximize speed.

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