What is the cross sectional area of a coffee filter?

1) A 0.830-g coffee filter with a cross-sectional area of 1.11 x 10-2 m2 reaches a terminal velocity of -1.214 m/s.

What is the drag coefficient for a coffee filter?

C=the drag coefficient. I researched this, because in order to calculate it you need a wind tunnel. For a coffee filter, the variable is approximately 1.00(meaning it can be disregarded for this experiment). The ρ is the density of the air that the coffee filters are falling through.

What is the terminal velocity of a coffee filter?

If we drop a single coffee filter, it reaches a terminal velocity of about 0.8 meters per sec after falling less than a meter. If we drop a stack of four close packed filters, the terminal velocity clocks in at about 1.6 meters per sec.

What is the mass of a coffee filter?

Each coffee filter had a mass of approximately m = 0.86 grams.

How is drag coefficient calculated?

The drag coefficient Cd is equal to the drag D divided by the quantity: density r times half the velocity V squared times the reference area A. The drag coefficient then expresses the ratio of the drag force to the force produced by the dynamic pressure times the area.

How does the time of fall relate to the weight of the coffee filters?

Students need to recognize that during free fall the drag force is equal to the weight of the filters; therefore, the weight of the filters or number of filters equal drag force during terminal velocity. Best results are obtained by allowing the filters to fall a long distance.

How does the terminal velocity of a set of coffee filters depend on the mass or number of coffee filters?

A heavier filter with the same area as a lighter one must fall faster to reach terminal velocity. So more massive filter stacks have a higher terminal velocity and fall further in the same time.

How do you find Terminal Velocity?

How do I find terminal velocity? To calculate terminal velocity: Multiply the mass of the object by the gravitational acceleration. Divide the resultant by the product of drag coefficient and projected area.

What’s my terminal velocity?

Terminal Velocity of a Human The terminal velocity of an average 80 kg human body is about 66 meters per second (= 240 km/h = 216 ft/s = 148 mph).

How do you calculate terminal velocity from drag force?

At terminal velocity, Fnet=0. Thus, the drag force on the skydiver must equal the force of gravity (the person’s weight). Using the equation of drag force, we find mg=12ρCAv2.

How much does filter paper weigh in grams?

mass of filter paper = 0.86 g, mass of paper and ppt = 3.91 g c) Calculate the percent yield.

Is coffee filter paper environmentally friendly?

Good news, yes they can! According to the folks at stackexchange’s gardening forum: “Yes, you can add coffee grounds with their filters to your compost pile. Because they are wet, they decompose fairly quickly.

What does A drag coefficient of 1 mean?

The Reynolds number will be low for small objects, low velocities, and high viscosity fluids. A equal to 1 would be obtained in a case where all of the fluid approaching the object is brought to rest, building up stagnation pressure over the whole front surface.

Is drag coefficient constant?

The drag coefficient is directly influenced by the velocity of the flow of the object in the fluid. If the velocity is kept constant over a period, there may be a change in the drag, but the drag coefficient is constant as it is the dimensionless quantity.

What is drag force equal to?

The acceleration of the object then becomes a = (W – D) / m . The drag force depends on the square of the velocity. So as the body accelerates its velocity (and the drag) will increase. It will reach a point where the drag is exactly equal to the weight.

Why is there a 1/2 in the drag equation?

The half 12 that also appears in the equation, is – as others also point out – due to the drag coefficient Cd being neatly written as Cd=DAq, where q=12ρv2 is the dynamic pressure, an important aerodynamic property.

What is a normal coefficient of drag?

Typical drag coefficients The average modern automobile achieves a drag coefficient of between 0.25 and 0.3. Sport utility vehicles (SUVs), with their typically boxy shapes, typically achieve a Cd=0.35–0.45. The drag coefficient of a vehicle is affected by the shape of body of the vehicle.

What is a good coefficient of drag?

Usually if a carmaker is bragging about it, it’s in the low region, somewhere between 0.26 and 0.22 – and the lower the number, the better. For reference, an aerodynamically-ideal teardrop shape has a coefficient of drag of around 0.04.

Is air resistance proportional to velocity or velocity squared?

Velocity and air resistance are proportional. Mathematically, sometimes it is proportional to the square of the velocity. Nonetheless, as velocity increases, so does air resistance.

How do you calculate air resistance?

The units for the force of air resistance are in Newtons (N). Air resistance can be calculated by taking air density times the drag coefficient times area all over two, and then multiply by velocity squared.

How does mass affect time taken to reach terminal velocity?

We see from this relation that the terminal velocity of an object is proportional to the object’s mass! The more massive an object, the faster it falls through a fluid.

How does the terminal velocity of an object depend on the height it is dropped from physics IA?

The greater weight increases the terminal velocity by acting as an extra force against gravity and air resistance. In the case of different heights we noticed that when we increase the height of drop then naturally the speed would increase and hence terminal velocity would be reached.

How do you find the terminal velocity of a ball in oil?

1. When the ball bearing reaches terminal velocity, the distance it has travelled between each time interval will be the same, and so its velocity can be determined.
2. Use the equation speed = distance / time to find the average velocity of the ball bearing between each set of bands or markers.

What must happen in order for a falling object to reach terminal velocity?

Terminal velocity is achieved, therefore, when the speed of a moving object is no longer increasing or decreasing; the object’s acceleration (or deceleration) is zero.

Is terminal velocity Newton’s second law?

When drag is equal to weight, there is no net external force on the object and the object will fall at a constant velocity as described by Newton’s first law of motion. The constant velocity is called the terminal velocity .