1. A sphere of radius R contains water. lf you make a small hole of radius r at the bottom derive the time that it would take to empty the sphere. lf R = 1 m and r = 0.01- m, calculate the time.
*Please show formulas, steps, descriptions
1. A sphere of radius R contains water. lf you make a small hole of radius...
a small sphere of radius (r) =1.5cm rolls without slipping on the track whose radius (R) =26cm. the sphere starts rolling at a height (R) above the bottom of the track. when it leaves the track after passing through an angle of 135 degrees. a. at what distance D from the base of the track will the sphere hit the ground. Please specify how you find x and y components of the velocity.
i got the hight correctly but not the time.
could you help me finding the time please
Tutorial lesson A cylindrical tank is being filled with water. The tank is initially empty but then water begins to flow into it at a rate of 74.00 kg/min. There is a small hole of radius r = 0.6000 cm at the bottom of the tank where water can escape. Because the flow rate of water leaving the hole is initially at a...
a small sphere of radius (r) =1.5cm rolls without slipping on the track whose radius (R) =26cm. the sphere starts rolling at a height (R) above the bottom of the track. when it leaves the track after passing through an angle of 135 degrees. a. at what distance D from the base of the track will the sphere hit the ground. In this question, why the y component of the velocity is not vsin(theta) but vcos(theta). Also why the x...
A small solid porcelain sphere, with a mass m and radius r, is placed on the inclined section of the metal track shown below, such that its lowest point is at a height h above the bottom of the loop. The sphere is then released from rest, and it rolls on the track without slipping. In your analysis, use the approximation that the radius r of the sphere is much smaller than both the radius R of the loop and...
A conical tank of radius R and height H, pointed end down, is
full of water. A small hole of radius r is opened at the bottom of
the tank, with r, much much less than, R so that the tank drains
slowly. Find an expression for the time T it takes to drain the
tank completely.
Hint 1: use Bernoulli’s equation to relate the flow speed from
the hole to the height of the water in the cone.
Hint...
A cylindrical tank is being filled with water. The tank is initially empty but then water begins to flow into it at a rate of 62.00 kg/min. There is a small hole of radius r = 0.7000 cm at the bottom of the tank where water can escape. Because the flow rate of water leaving the hole is initially at a slower rate than water entering the tank, the water level rises. The average velocity of water leaving through the...
The tank pictured in Figure 2 with height H and diameter D
contains water, which drains through a small round hole with
diameter d. Torricelli’s law states that the average velocity v of
the draining water is , where g
is the acceleration of gravity and h the water level. Derive an expression to
describe the time taken for the tank to drain, if it is initially
full of water. Future interplanetary astronauts could use the tank
as a simple...
1 A hollow sphere of mass M and expression for the speed the sphere ha of mass M and radius R is suspended by a string as shown. Derive an e speed the sphere has when it falls a distance h. How long does this take? ergy is in rotation? Clear good figures, explain the math in the derivation and box your answers. MR
A small solid glass sphere, with a mass m and radius r, is placed on the inclined section of the metal track shown below, such that its lowest loop. The sphere is then released from rest, and it rolls on the track without slipping. In your analysis, use the approximation that the radius radius R of the loop and the height h. (Use the following as necessary: M, R, and g for the acceleration of gravity.) Solid sphere of mass...
A small solid sphere of mass M0, of radius R0, and of uniform density ρ0 is placed in a large bowl containing water. It floats and the level of the water in the dish is L. Given the information below, determine the possible effects on the water level L, (R-Rises, F-Falls, U-Unchanged), when that sphere is replaced by a new solid sphere of uniform density. The new sphere has density ρ = ρ0 and radius R < R0 The new...