A spherical object with a mass of 75 Kg object and radius of 0.5 m is dropped from a plane flying in the sky. Determine the drag coefficient C if the object attains a terminal velocity of 100m/s. Assume the density of air is 1.207kg/m^3

A spherical object with a mass of 75 Kg object and radius of 0.5 m is dropped from a plane flying in the sky. Determine the drag coefficient C if the object attains a terminal velocity of 100m/s. Assume the density of air is 1.207kg/m^3

Name: A spherical object with a mass of 75 Kg object and radius of 0.5 m is
Uploaded: 2024-03-20T06:51:10.000Z
Channel: Bartleby
Description: A spherical object with a mass of 75 Kg object and radius of 0.5 m is dropped from a plane flying in the sky. Determine the drag coefficient C if the object attains a terminal velocity of 100m/s. Assume the density of air is 1.207kg/m^3

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter6: Applications Of Newton’s Laws Of Motion

Section: Chapter Questions

Problem 41PQ: An inflated spherical beach ball with a radius of 0.3573 m and average density of 10.65 kg/m3 is...

See similar textbooks

Similar questions

An inflated spherical beach ball with a radius of 0.3573 m and average density of 10.65 kg/m3 is being held under water in a pool by Janelle. The density of the water in the pool is 1000.0 kg/m3. When Janelle releases the ball, it begins to rise to the surface. If the drag coefficient of the ball in the water is 0.470 and the constant upward force on the ball is 1875 N, what will be the terminal speed of the ball as it rises? Ignore the effects of gravity on the ball.
Air flows horizontally with a speed of 108 km/h over a house that has a flat roof of area 20.0 m2. Find the magnitude of the net force on the roof due to the air inside and outside the house. The density of air is 1.30 kg/m3, and the thickness of the roof is negligible.
What is most nearly the terminal velocity of a 50mm diameter solid aluminum sphere falling in air? the sphere has a coefficient of drag of 0.5, density of aluminum is 2650 kg/m^3 , and density of air is 1.225 kg/m^3.Answer: 53 m/s
What is the terminal speed of a 6.00 kg spherical ball that has a radius of 3.00 cm and a drag coefficient of 1.60? The density of the air through which the ball falls is 1.20 kg/m3.
A ball with a mass of 3.7 grams and a diameter of 4.2 cm is hung vertically from the end of a string. A strong wind, travelling at a speed of 8.9 m/s blows past, causing the ball to hang at a nonzero angle with the vertical. Determine the angle that the ball will make with the vertical when it is in static equilibrium. Assume a drag coefficient of 0.45 for a spherical object and that the density of the air is 1.21 kg/m³.
An 0.90-m-diameter, 1.1-m-high garbage can is found in the morning tipped over due to high winds during the night. Assuming the average density of the garbage inside to be 150 kg/m3 and taking the air density to be 1.25 kg/m3, estimate the wind velocity during the night when the can was tipped over. Take the drag coefficient of the can to be 0.7.
It is autumn. You look outside a window and see a maple leaf falling face down, in a straight vertical line. You estimate the speed of the leaf to be 25.77 cm/s. You then pick up the leaf and do measurements. It has a mass of 2.76 g and a cross sectional area of 76 square cm. You measure the density of air to be 1.298 kg m-³. What is the drag coefficient between the leaf and the air? (numerical value only) Number (Hint: For an object to fall with constant speed, it must be at 'terminal velocity'.)
A raindrop with a radius R= 1.2 mm falls from a cloud that is at height h = 1200 m above the ground. The drag coefficient C for the drop is 0.40. Assume that the drop is spherical throughout its fall. The density of water ρw is 1000 kg/m3, and the density of air ρa is 1.1 kg/m3. If you know that the raindrop reaches terminal speed after falling just a few meters. What is the terminal speed?
A paratrooper and his 8-m-diameter parachute weigh 950 N. Taking the average air density to be 1.2 kg/m3, determine the terminal velocity of the paratrooper.
Kayaking is a great example of multiple drag forces. Where a person has to deal with currents in the water and air to propel themselves forward. In this problem, the water is moving at a velocity of 1.7 m/s directly in the direction you are trying to row. When considering this water, the area in contact with the water is .05 m^2, the drag coefficient is 1.02 with normal water density. You are moving at a velocity of 3 m/s, while the air is blowing against you with a velocity of 2.7 m/s (head wind). For the air, you have an area in contact of .5 m^2, and a drag coefficient of 1.75. Normal air density is present. In order to accomplish your time goal, you need a net force propelling you downstream of 175 newtons, how much force are you applying with the paddle to achieve this goal?
A tennis ball (typical mass 57.5 g) flying through the air may be affected by air resistance. The drag force applied to the ball can be approximated as: F drag C₁pAv² Where: Fdrag Drag force (N) Cd = Coefficient of drag, which for a tennis ball is around 0.55 p = The density of air, which at ground level at 25°C is around 1.2 A = The presented area of the tennis ball in the direction of travel, around 3500 mm² v = The velocity (by convention in the positive direction) in m/s (a) Draw a free-body diagram of the tennis ball during flight, including air resistance. Also include a separate vector showing the direction of travel (v) at an arbitrary angle (theta) from horizontal. (b) Write Newton's second law for the x and y directions, and from this state the first-order differential equations (in each coordinate) that govern the motion of the tennis ball The tennis ball is at a vertical height of 1.4 m above the ground when it is struck with a racquet. The initial velocity as it leaves the…
Dandelion seeds have a plume made of thin filaments that create a very large drag coefficient due to subtle aerodynamics as the air moves through and past the plume. The slower terminal speed and longer time in the air provide greater dispersal than would be possible for simple spherical seeds. A 0.63 mg seed has a plume with a cross-section area of 13 mm, and it falls with a terminal speed of 40 cm/s.