Question

In: Math

The radius of a circular oil slick expands at a rate of 6 m/min. (a) How...

The radius of a circular oil slick expands at a rate of 6 m/min.

(a) How fast is the area of the oil slick increasing when the radius is 24 m?

????=
?2/???

(b) If the radius is 0 at time ?=0, how fast is the area increasing after 3 mins?

????=
?2/???

Solutions

Expert Solution


Related Solutions

An oil slick that has a density of 930kg / m ^ 3 floats on water....
An oil slick that has a density of 930kg / m ^ 3 floats on water. A rectangular block of wood 4.00cm high and with a density of 960kg / m ^ 3 floats partially in oil and partially in water. The oil completely covers the block. How far below the contact surface between the two liquids is the bottom of the block?
a 4.00 kg mass is moving in a circular path of radius 3.20 m with a...
a 4.00 kg mass is moving in a circular path of radius 3.20 m with a constant linear speed of 6.29 m/s. The radial force on the mass is
A circular loop of radius 1.79 m is mounted on top of a truck. Initially the...
A circular loop of radius 1.79 m is mounted on top of a truck. Initially the truck is at rest oriented so that a vector normal to the loop points north. At this location, the Earth’s magnetic field has a magnitude of 49.6 μT and a direction of due north, 63° below the horizontal. Over the course of 9.0 seconds, the truck accelerates north, so that at the end of the time interval, the truck is moving at 14.0 m/s...
Find the moment of inertia of a circular disk of radius R and mass M that...
Find the moment of inertia of a circular disk of radius R and mass M that rotates on an axis passing through its center. [Answer: ½ MR2] Step 1: Pictorial representation: Sketch a neat picture to represent the situation. Step 2: Physical representation: 1) Cut the disk into many small rings as it has the circular symmetry. 2) Set up your coordinate system and choose its origin at the pivot point (or the axle location) for convenience. Then choose a...
A planet of mass 6 × 1025 kg is in a circular orbit of radius 4...
A planet of mass 6 × 1025 kg is in a circular orbit of radius 4 × 1011 m around a star. The star exerts a force on the planet of constant magnitude 1.8 × 1023 N. The speed of the planet is 3.4 × 104 m/s. (a) In half a "year" the planet goes half way around the star. What is the distance that the planet travels along the semicircle? (b) During this half "year", how much work is...
A runner sprints around a circular track of radius 130 m at a constant speed of...
A runner sprints around a circular track of radius 130 m at a constant speed of 7 m/s. The runner's friend is standing at a distance 260 m from the center of the track. How fast is the distance between the friends changing when the distance between them is 260 m? (Round your answer to two decimal places.) m/s
A circular coil (radius = 0.40 m) has 160 turns and is in a uniform magnetic...
A circular coil (radius = 0.40 m) has 160 turns and is in a uniform magnetic field. If the orientation of the coil is varied through all possible positions, the maximum torque on the coil by magnetic forces is 0.16 Nm when the current in the coil is 4.0 mA. What is the magnitude of the magnetic field? 0.50 T 1.6 T 0.21 T 1.2 T 0.37 T
A particle of mass m orbits around the origin (0,0) in a circular path of radius...
A particle of mass m orbits around the origin (0,0) in a circular path of radius r. (a) Write the classical Hamiltonian (energy) of this system in terms of angular momentum of the particle. (b) Write the Schrodinger equation for this system. (c) Find the energy eigenvalues and their corresponding (normalized) wavefunctions.
1.Consider a satellite of the earth in a circular orbit of radius R. Let M and...
1.Consider a satellite of the earth in a circular orbit of radius R. Let M and m be the mass of the earth and that of the satellite, respectively. Show that the centripetal acceleration of the satellite is aR = -(v^2/R)*(r/r) where v = |v| is the magnitude of the velocity V and r/r is a unit vector in the radial direction. 2.Using Newton's second low of motion and the law of universal gravitation, determine the speed v=|V| and the...
a) Consider an object of mass m=0.527kg rotates on circular path of radius r=1.82 m. Object...
a) Consider an object of mass m=0.527kg rotates on circular path of radius r=1.82 m. Object starts at rest and slowly increase its angular velocity at constant angular acceleration of 0.128 rad/s2. I. Find the angular velocity of the object after 35 seconds? II. Find the magnitude and direction of resultant linear acceleration after 35 seconds? III. Find the net force acting on the object after 35 seconds? b) Consider the same above object of mass m=0.527kg rotates around its...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT