Spinning the stopper at the correct frequency kept the unknown mass from falling,
hence the centripetal force of the stopper attached to the string equaled the force of
gravity acting on the system.
By taking care in measuring the radius of the circle, we
Because sound travels at different speeds in water than in air, it was important for
engineers to know the speed of sound in water, depending on the temperature and depth.
Sounds speed in water, in feet per second, is given by the equation:
Speed = 4388 +
In this lab, four trials were done. Each trial consisted of rotating a rubber stopper in a
circle. The stopper was connected to a bottle with an unknown mass. The centripetal
force created by the rotating stopper resisted the effect of gravity on the bott
When a roller coaster goes upside down in a loop, the centrifugal force must be great
enough to prevent the people from falling.
If v^2 / r is equal to 9.8 (the acceleration due to gravity), then people will not fall down
when the roller coaster is upside
The main cause of error is the reaction time of the person timing each trial.
If the reaction time is subtracted from the period, the frequency will increase and give a
higher predicted mass, which will be closer to the measured mass.
Substituting the val
We then attached the stopper to one end of a piece of white string roughly two
meters in length and threaded the string through a reinforced glass tube, which would
allow for the least amount of friction while twirling the string.
We secured the other end
Needle Drop Experiment
This experiment is a Monte Carlo experiment
It appeared twice in a row for the seventy-fifth and seventy-sixth drops, and four
times in a row starting with the eightieth drop.
In the experiment with the circles, the slope of the bes
One ancient way to calculate pi was to draw a circle with a diameter of one with a
polygon inscribed inside.
Then a similar polygon was circumscribed around the circle.
The average of the two perimeters of the polygons eventually approaches pi as the
Circular motion is defined as uniform rotation along a circular path, meaning that
the object in motion travels the same distance in the same amount of time along a path at
a fixed distance away from a fixed point.
This data could further be used to calculate centripetal force using the force
formula of Fc= ms ac. The centripetal force, about 4.115 N, along with the known
acceleration of gravity (ag), could then be used to calculate the mass of the unknown