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Linear Motion - Physical Science I - Lab #3 | PSCI 1421, Lab Reports of Physics

Material Type: Lab; Class: Physical Science I; Subject: Physical Science; University: University of Texas - Pan American; Term: Unknown 1989;

Typology: Lab Reports

2009/2010

Uploaded on 02/24/2010

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Physical Science 1421
Department of Physics and Geology Linear Motion
Equipment Needed Qty Equipment Needed Qty
Photogate 2 Track 1
Dynamics Cart 1 Photogate Bracket 2
Five Pattern Picket Fence 1 Angle Indicator 1
Table Clamp 1 Metal Rod 1
Background
We are exposed to motion all the time, from the movement of the sun and moon to cars and people. The
simplest form of motion is in a straight line or linear motion. Speed is ‘how fast an object is moving’.
Acceleration is used to indicate a change (increase or decrease) in speed. An average speed can be a
useful value. It’s the ratio of the overall distance an object travels and the amount of time that the object
travels.
Distance
Average Speed = Time
If you know you will average 50 miles per hour on a 200 mile trip, it’s easy to predict how long the trip
will take. On the other hand, the highway patrol office following you doesn’t care about your average
speed over 200 miles. The patrol officer wants to know how fast you’re driving at the instant the radar
strikes your car, so he or she can determine whether or not to give you a ticket. The officer wants to
know your instantaneous speed.
If you measure average speed of a moving object over smaller and smaller intervals of distance, the
value of the average speed approaches the value of the object’s instantaneous speed. The motion of the
cart is due to gravity giving the cart almost constant acceleration when the friction between the track and
the cart is minimal. Assuming the initial speed of the cart is zero, we can also find the final speed and
the acceleration of the cart with simple algebra.
SpeedAverageSpeedFinal
×
=
2
2
2
Time
Distance
onAccelerati
×
=
Acceleration is defined as the time rate of change of speed.
SAFETY REMINDERS
Follow all directions for using the equipment.
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Physical Science 1421 Department of Physics and Geology Linear Motion

Equipment Needed Qty Equipment Needed Qty Photogate 2 Track 1 Dynamics Cart 1 Photogate Bracket 2 Five Pattern Picket Fence 1 Angle Indicator 1 Table Clamp 1 Metal Rod 1

Background

We are exposed to motion all the time, from the movement of the sun and moon to cars and people. The simplest form of motion is in a straight line or linear motion. Speed is ‘how fast an object is moving’. Acceleration is used to indicate a change (increase or decrease) in speed. An average speed can be a useful value. It’s the ratio of the overall distance an object travels and the amount of time that the object travels.

Distance Average Speed = Time

If you know you will average 50 miles per hour on a 200 mile trip, it’s easy to predict how long the trip will take. On the other hand, the highway patrol office following you doesn’t care about your average speed over 200 miles. The patrol officer wants to know how fast you’re driving at the instant the radar strikes your car, so he or she can determine whether or not to give you a ticket. The officer wants to know your instantaneous speed.

If you measure average speed of a moving object over smaller and smaller intervals of distance, the value of the average speed approaches the value of the object’s instantaneous speed. The motion of the cart is due to gravity giving the cart almost constant acceleration when the friction between the track and the cart is minimal. Assuming the initial speed of the cart is zero, we can also find the final speed and the acceleration of the cart with simple algebra.

Final Speed = 2 × Average Speed

2

Time

Distance Acceleration

×

Acceleration is defined as the time rate of change of speed.

SAFETY REMINDERS

  • Follow all directions for using the equipment.

Procedure

Use two Photogates to measure the amount of time it takes for an object to move a measured distance. Enter the measured distance into the computer. Use DataStudio to calculate the average speed based on the distance you enter, and the time that is measured. Then change the distance over which the object’s motion is measured and repeat the process.

PART I: Computer Setup

  1. Connect one Photogate’s stereo phone plug to Digital Channel 1 on the interface. Connect the second Photogate’s stereo phone plug to Digital Channel 2.
  2. Open the file titled LinearMotion.DS

PART II: Equipment Setup

  1. Place the Dynamics Track on a table. Raise the 0cm end of the track to a 5° angle using a table clamp, rod and pivot to form a stand as illustrated in the picture.
  2. Use the 18 cm point near the top end of the track as the starting point for the cart.
  3. Place the Photogate connected to Digital Channel 1 (“Gate 1”) at the top end of the track at the 20 cm away mark. Place the Photogate connected to Digital Channel 2 (“Gate 2”) at the bottom end of the track 80 cm away from the “Gate 1”.
  4. Place the “five-pattern picket fence” on the top of the cart. Place the picket fence so that the solid band will block the Photogate beam as the cart moves down the track.
  5. Put the cart on track. Adjust the height of both Photogates so that the photogate beams are blocked when the cart and picket fence move down the track.

Preparing to Record Data

  • Before recording any data for later analysis, you should experiment with the Photogate, cart, and picket fence. Put the cart at the starting point on the track.
  • Release the cart so it moves down the track and make sure that the Photogates are at a proper height.
  • In DataStudio , click ‘Fit’ ( ) in the Graph toolbar and select ‘Linear’. The ‘Y Intercept’ appears in the ‘Linear Fit’ window.
  1. Rescale your Distance vs. Time plot so the data fills the window.
  2. Find the ‘Y Intercept’ of the best-fit line through your data.
  • In DataStudio , click ‘Fit’ ( ) in the Graph toolbar and select ‘Linear’. The ‘Y Intercept’ appears in the ‘Linear Fit’ window.

Use your results to answer the questions in the Lab Report section.