Mechanics Question of a wheel chair

In summary: So F = mg sinθ. In summary, the force required to keep the wheel chair moving at constant speed up the ramp is 900N multiplied by the sine of the angle of the ramp. The power exerted by the person in the wheel chair is calculated by dividing the work (force x distance) by the time it takes to travel up the ramp. The forces acting on the chair are gravity, the normal force of the ramp, and the applied force pushing the chair up the ramp. To maintain constant speed, the applied force must balance the component of weight acting down the ramp.
  • #1
EIRE2003
108
0
A person in a wheel chair is moving up a ramp at a constant speed. Their total weight is 900N. The ramp makes an angle of 10degrees to the horizon.
Calculate the force required to keep the wheel chair moving at constant speed up the ramp.
(You may ignore the effects of friction)

The ramp is 5m long. Calculate the power exerted by the person in the wheel chair if it takes her 10s to travel up the ramp.

Here is what i have done :confused:

- I used the SINE Rule to find the inclined height of the ramp, i found it to be .87m.

- Power = work/time.
 
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  • #2
Start by finding the force needed to move the chair at constant speed up the ramp. Hint: Constant speed up the ramp means equilibrium. What are all the forces acting on the chair?
 
  • #3
I still don't understand how to find the constant speed up the ramp??

All the forcesacting on the chair are gravity, friction (but friction is to be ignored). Is that it?
 
  • #4
EIRE2003 said:
I still don't understand how to find the constant speed up the ramp??
If you want to find the speed you need distance and time. You are given both. (But you don't need to find the speed.)
All the forcesacting on the chair are gravity, friction (but friction is to be ignored). Is that it?
The forces acting on the chair are: gravity pulling down, the normal force of the ramp pushing on the chair, and the applied force pushing the chair up the ramp.

Consider the components acting parallel to the ramp: The applied force (F) pushing up the ramp, and the component of weight acting down the ramp (mg sinθ). These must balance for the chair to have constant speed.
 

Related to Mechanics Question of a wheel chair

1) What is the purpose of a wheel chair?

A wheel chair is a mobility aid used by individuals who have difficulty walking or are unable to walk. It provides support and allows for independent movement for those with physical disabilities.

2) How does a wheel chair work?

A wheel chair typically consists of a seat, backrest, footrests, and four wheels. The user can move the chair by pushing the wheels with their hands or by using their feet on the footrests. Some wheelchairs may also have motorized options for propulsion.

3) What are the different types of wheel chairs?

There are several types of wheel chairs, including manual wheel chairs, powered wheel chairs, sports wheel chairs, and lightweight wheel chairs. Manual wheel chairs require the user to propel themselves, while powered wheel chairs are operated by a battery-powered motor. Sports wheel chairs are designed for athletic activities, and lightweight wheel chairs are easier to transport and maneuver.

4) What factors should be considered when choosing a wheel chair?

When choosing a wheel chair, factors such as the user's physical abilities, lifestyle, and budget should be considered. It is important to select a wheel chair that is comfortable and properly fits the user's body to prevent discomfort and injury.

5) Can a wheel chair be customized for individual needs?

Yes, wheel chairs can be customized to meet the specific needs of the user. This can include adjustments to the seat height, backrest angle, and footrests. Additional features such as headrests, specialized cushions, and storage options can also be added to improve comfort and functionality.

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