What is the power developed by the student running the stairs? 1N = 0.225 lb1 hp = 746 watts a) 0.07 hpb) 1.53 hp c) 0.32 hp d) 0.77 hp HorsepowerObjectiveIn this experiment you will calculate the power youdevelop when climbing a flight of stairs.P.(2)The SI unit of power is a watt (W), which is equivalentto a J/s.ApparatusWhen James Watt invented his steam engine, he wasasked how many horses the engine could replace. Tofind out, he built a rope-and-pulley device with whichhe could measure the time it took a horse to lift var-ious weights.Stairs, Stopwatch, Meter stick.TheoryConsider the (rather crude) person climbing a flight Watt defined horsepower as the power a horse canof stairs as shown below.produce steadily for a sustained period of time. TheSI equivalent of one horsepower is 746W.Procedure1. Record your weight in lb on the Data Sheet; ap-proximate if you do not know. Convert this toN.hi2. Take a stopwatch and meter stick and locatesome stairs that can be used for the experiment.You want to climb at least 2m vertically, so thismight be more than one section of stairs if thestaircase turns as it rises.m =Work W is defined as the product of a force F anddistance d; specifically the component of the force inthe direction of the movement.3. Measure the height of one step and count thetotal number of steps you will be climbing.Record these values and calculate the total ver-tical height.W = FdFor the person climbing the stairs the force they aremoving is their own weight w. This force acts straightdown, so in climbing a vertical height y the work doneis4. Time how long it takes you to walk up the stairs;repeat for running (safely) up the stairs.5. Calculate the work done both in walking and run-ning the stairs with Equation 1. Calculate thepower in each case with Equation 2. Convert thepower in W to hp.(1)The SI unit of work is a joule (J), which is equivalenthn = Mto a Nm.Power is the rate at which work is done. If it takesthe person time t to climb then the power P is1.+ brightspacCe.cpcc.eduHorsePowerP2Data SheetWeight (lb)170Weight (N)Height of single step (m)8.18Number of steps climbed80Total height climbed (m)4219Time to walk stairs (s)Time to run stairs (s)WalkingRunningWork (J)Power (W)Power (hp)

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Answered: What is the power developed by the…

What is the power developed by the student running the stairs? 1N = 0.225 lb 1 hp = 746 watts a) 0.07 hp b) 1.53 hp c) 0.32 hp d) 0.77 hp

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

What is the power developed by the student running the stairs?

1N = 0.225 lb

1 hp = 746 watts

a) 0.07 hp

b) 1.53 hp

c) 0.32 hp

d) 0.77 hp

Horsepower
Objective
In this experiment you will calculate the power you
develop when climbing a flight of stairs.
P.
(2)
The SI unit of power is a watt (W), which is equivalent
to a J/s.
Apparatus
When James Watt invented his steam engine, he was
asked how many horses the engine could replace. To
find out, he built a rope-and-pulley device with which
he could measure the time it took a horse to lift var-
ious weights.
Stairs, Stopwatch, Meter stick.
Theory
Consider the (rather crude) person climbing a flight Watt defined horsepower as the power a horse can
of stairs as shown below.
produce steadily for a sustained period of time. The
SI equivalent of one horsepower is 746W.
Procedure
1. Record your weight in lb on the Data Sheet; ap-
proximate if you do not know. Convert this to
N.
hi
2. Take a stopwatch and meter stick and locate
some stairs that can be used for the experiment.
You want to climb at least 2m vertically, so this
might be more than one section of stairs if the
staircase turns as it rises.
m =
Work W is defined as the product of a force F and
distance d; specifically the component of the force in
the direction of the movement.
3. Measure the height of one step and count the
total number of steps you will be climbing.
Record these values and calculate the total ver-
tical height.
W = Fd
For the person climbing the stairs the force they are
moving is their own weight w. This force acts straight
down, so in climbing a vertical height y the work done
is
4. Time how long it takes you to walk up the stairs;
repeat for running (safely) up the stairs.
5. Calculate the work done both in walking and run-
ning the stairs with Equation 1. Calculate the
power in each case with Equation 2. Convert the
power in W to hp.
(1)
The SI unit of work is a joule (J), which is equivalent
hn = M
to a Nm.
Power is the rate at which work is done. If it takes
the person time t to climb then the power P is
1.
+

brightspacCe.cpcc.edu
HorsePowerP2
Data Sheet
Weight (lb)
170
Weight (N)
Height of single step (m)
8.18
Number of steps climbed
80
Total height climbed (m)
42
19
Time to walk stairs (s)
Time to run stairs (s)
Walking
Running
Work (J)
Power (W)
Power (hp)

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