Question

Notify Me Bookmark

A large storage tank, open at the top and filled with water, develops a small hole in its side at a point 15.8 m below the water level. The rate of flow from the leak is found to be 2.60×10−3 m3 /min. (a) Determine the speed (in m/s ) at which the water leaves the hole. m/s (b) Determine the diameter of the hole (in mm). mm (c) What If? If the hole is 10.0 m above the ground and the water is projected horizontally from the hole, how far (in m ) from the base of the tank would a bucket have to be initially placed to catch the water from the leak? m

A large storage tank, open at the top and filled with water, develops a small hole in its side at a point 15.8 m below the water level. The rate of flow from the leak is found to be 2.60×10−3 m3 /min. (a) Determine the speed (in m/s ) at which the water leaves the hole. m/s (b) Determine the diameter of the hole (in mm). mm (c) What If? If the hole is 10.0 m above the ground and the water is projected horizontally from the hole, how far (in m ) from the base of the tank would a bucket have to be initially placed to catch the water from the leak? m

Image text
A large storage tank, open at the top and filled with water, develops a small hole in its side at a point 15.8 m below the water level. The rate of flow from the leak is found to be 2.60 × 10 − 3 m 3 / m i n . (a) Determine the speed (in m / s ) at which the water leaves the hole. ◻ m / s (b) Determine the diameter of the hole (in m m ). ◻ m m (c) What If? If the hole is 10.0 m above the ground and the water is projected horizontally from the hole, how far (in m ) from the base of the tank would a bucket have to be initially placed to catch the water from the leak? ◻ m

Detailed Answer

0 0

Please enter your email here. You will get email when this question is answered by our tutor.

Doubtrix Logo

Problem is not yet solved!

Click on Notify me to get email when question is answered.

Join Doubtrix with 7-days free trial

  • Icon Correct & Verified Answers
  • Icon No AI-Generated Answers
  • Icon Video Solution for Difficult Questions
  • Icon Work With Experts to Reach at Correct Answers
Notify me Login Sign Up

Similar/Related Questions

Children playing in a playground on the flat roof of a city school lose their ball to the parking lot below. One of the teachers kicks the ball back up to the children as shown in the figure below. The playground is 4.70 m above the parking lot, and the school building's vertical wall is h = 6.10 m high, forming a 1.40 m high railing around the playground. The ball is launched at an angle of θ = 53.0∘ above the horizontal at a point d = 24.0 m from the base of the building wall. The ball takes 2.20 s to reach a point vertically above the wall. (Due to the nature of this problem, do not use rounded intermediate values-including answers submitted in WebAssign-in your calculations.) (a) Find the speed (in m/s) at which the ball was launched. m/s (b) Find the vertical distance (in m) by which the ball clears the wall. m (c) Find the horizontal distance (in m) from the wall to the point on the roof where the ball lands. m (d) What If? If the teacher always launches the ball with the speed found in part (a), what is the minimum angle (in degrees above the horizontal) at which he can launch the ball and still clear the playground railing? (Hint: You may need to use the trigonometric identity sec2⁡(θ) = 1+tan2⁡(θ).) ∘ above the horizontal (e) What would be the horizontal distance (in m) from the wall to the point on the roof where the ball lands in this case? m
Solution
0 0

(a) Imagine that a space probe could be fired as a projectile from the Earth's surface with an initial speed of 5.28×104 m/s relative to the Sun. What would its speed be when it is very far from the Earth (in m/s )? Ignore atmospheric friction, the effects of other planets, and the rotation of the Earth. (Consider the mass of the Sun in your calculations.) m/s (b) What If? The speed provided in part (a) is very difficult to achieve technologically. Often, Jupiter is used as a "gravitational slingshot" to increase the speed of a probe to the escape speed from the solar system, which is 1.85×104 m/s from a point on Jupiter's orbit around the Sun (if Jupiter is not nearby). If the probe is launched from the Earth's surface at a speed of 4.10×104 m/s relative to the Sun, what is the increase in speed needed from the gravitational slingshot at Jupiter for the space probe to escape the solar system (in m/s )? (Assume that the Earth and the point on Jupiter's orbit lie along the same radial line from the Sun.) m/s

Solution
0 0

In the figure shown below, one end of a cord is attached to the floor and the other end is attached to a small set of essentially massless wheels through a slot in a track on which the wheels roll without friction. As a result of this arrangement, the upper end of the cord is essentially free. At equilibrium, the cord is vertical and motionless. When it carries a small amplitude wave, the cord is under a uniform tension of 1.20 N. The cord has a mass of 5.80 g and a length of 85.0 cm. (a) Find the speed (in m/s) of the transverse waves in the cord. m/s (b) The cord's vibration possibilities are a set of standing-wave states, each with a node at the fixed bottom end and an antinode at the free top end. Find the node-antinode distances (in m) for the first three harmonics. Enter your answers from the lowest to the highest harmonic. m m m (c) Find the frequency (in Hz) of each of these states. (Enter your answers from simplest to more complicated.) Hz Hz Hz (d) What If? The wheels get stuck on the track and are unable to move, hence making the cart stationary. Determine the node-antinode distance (in m) and frequency of vibration (in Hz) for the third harmonic. distance m frequency Hz
Solution
0 0