Question

Worksheet- First order differential Equations Applications: The radius of a spherical raindrop is found to increase...

Worksheet- First order differential Equations Applications:

  1. The radius of a spherical raindrop is found to increase because of condensation at a rate proportional to the surface area. If at t= 0 r = ro what is the radius r (t) (at any time t)

[Hint: surface of a sphere is 4r2]

Homework Answers

Answer #1

****Your honest feedback is very important for better results****

Thanks

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Suppose a conducting sphere, radius r2, has a spherical cavity of radius r1 centered at the...
Suppose a conducting sphere, radius r2, has a spherical cavity of radius r1 centered at the sphere's center. At the center of the sphere is a point charge -4Q. Assuming the conducting sphere has a net charge +Q determine the electric field,magnitude and direction, in the following situations: a) From r = 0 to r = r1. b) From r = r1 to r = r2. c) Outside of r = r2 d) find the surface charge density (charge per...
Application of the first order differential equations, from "Differential Equations", by Isabel Carmona. 2. A body...
Application of the first order differential equations, from "Differential Equations", by Isabel Carmona. 2. A body with a mass of 9.7 kg is released from a height of 300 m without initial speed. The body finds an air resistance proportional to its speed. If the speed limit must be 95 m/sec... Find A) body speed at a time t B) the position of the body at a time t The correct answers are: A) v = 95 (1-e(- t /...
In a small town called Edam, cheese is given a perfect spherical shape of radius 100...
In a small town called Edam, cheese is given a perfect spherical shape of radius 100 milimeters, and covered with a thin layer of red wax. When the locals sliced the cheese, and melted the wax of each slice, they found out, to their amazement, that they got the same amount of wax, no matter where they cut the cheese. (No pun intended). Show that if you cut a slice of that cheese of thickness T, the external area of...
Application of first order differential equations. 1. A body of mass 14.7 kg is released with...
Application of first order differential equations. 1. A body of mass 14.7 kg is released with an initial speed of 0.5 m/sec and finds a force due to the air resistance given by 8v2. Find the speed for time = root of 2 seconds (t =√2 seconds) The correct answer is = 4,23m/sec. Please help me solving this step by step, because I'm studying for an important test tomorrow. Thank you so much.
Differential equations 1. In many states in the USA it is illegal to drive with an...
Differential equations 1. In many states in the USA it is illegal to drive with an alcohol level greater than 0.10 percent (one part of alcohol per 1000 parts of blood). Suppose someone is arrested in one of these states and is found to have a 0.8% blood alcohol percentage. Assuming that the percentage of alcohol in the bloodstream decreases proportionally to the percentage of alcohol, and that the alcohol concentration also decreases 10 percent every hour, determine how much...
Use C++ in Solving Ordinary Differential Equations using a Fourth-Order Runge-Kutta of Your Own Creation Assignment:...
Use C++ in Solving Ordinary Differential Equations using a Fourth-Order Runge-Kutta of Your Own Creation Assignment: Design and construct a computer program in C++ that will illustrate the use of a fourth-order explicit Runge-Kutta method of your own design. In other words, you will first have to solve the Runge-Kutta equations of condition for the coefficients of a fourth-order Runge-Kutta method.   See the Mathematica notebook on solving the equations for 4th order RK method.   That notebook can be found at...
1. First consider a mass on an inclined slope of angle θ, and assume the motion...
1. First consider a mass on an inclined slope of angle θ, and assume the motion is frictionless. Sketch this arrangement: 2. As the mass travels down the slope it travels a distance x parallel to the slope. The change in height of the mass is therefore xsinθ. By conserving energy, equate the change of gravitational potential energy, mgh = mgxsinθ, to the kinetic energy for the mass as it goes down the slope. Then rearrange this to find an...
3. Consider the region R in the first quadrant enclosed by y = x, y =...
3. Consider the region R in the first quadrant enclosed by y = x, y = x/2, and y = 5. (a) Sketch this region, making sure to identify and label all points of intersection. (b) Find the area of R, using the method of your choice. (c) Using the method of your choice, set up an integral for the volume of the solid resulting from rotating R around the y-axis. Do NOT evaluate the integral. (d) Using the method...
Data For Tasks 1-8, consider the following data: 7.2, 1.2, 1.8, 2.8, 18, -1.9, -0.1, -1.5,...
Data For Tasks 1-8, consider the following data: 7.2, 1.2, 1.8, 2.8, 18, -1.9, -0.1, -1.5, 13.0, 3.2, -1.1, 7.0, 0.5, 3.9, 2.1, 4.1, 6.5 In Tasks 1-8 you are asked to conduct some computations regarding this data. The computation should be carried out manually. All the steps that go into the computation should be presented and explained. (You may use R in order to verify your computation, but not as a substitute for conducting the manual computations.) A Random...
Part I. Indicate whether true or false (T or F). ____ Storm water detention ponds typically...
Part I. Indicate whether true or false (T or F). ____ Storm water detention ponds typically are designed to regulate the outflow peak rate at or below a single target value, such as the pre-development (pre-land use change) peak runoff rate for a specified return period event. Detention storage alters the peak but not the volume of the outflow hydrograph. _____ Typical rating curves for weirs are concave upward. Typical rating curves for orifices are concave downward. ____ A sediment...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT