1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
navik [9.2K]
3 years ago
11

A wooden bucket filled with water has a mass of 68 kg and is attached to a rope that is wound around a cylinder with a radius of

0.078 m. A crank with a turning radius of 0.250 m is attached to the end of the cylinder. What minimum force directed perpendicularly to the crank handle is required to raise the bucket
Physics
1 answer:
Aleonysh [2.5K]3 years ago
7 0

Answer: 210.2N

Explanation:

Assume a bucket of water with a total mass of 68kg is attached to a rope, which in turn is tied around a 0.078m radius cylinder at the top of a well. A crank with a turning radius of 0.250 m is attached to the end of the cylinder.

the minimum force directed perpendicular to the crank handle required to raise the bucket is

(Assume the rope's mass is negligible, that the cylinder turns on friction-less bearings, and that g = 9.8 m/s2

The crank handle provides a torque T=0.25F where F is the force we are looking for.

A free body diagram will show that the tension in the rope times the cylinder radius R is equal to the torque on the cylinder. But the tension in the rope is just the weight of the bucket

W=mg= 68kg

W(0.078)=T=0.25F

F=0.312W=0.312(68kg)=21.216kg= 210.2N

You might be interested in
A 3.00 kg mass is traveling at an initial speed of 25.0 m/s. What is the
Nitella [24]

Answer:

The magnitude of the force required to bring the mass to rest is 15 N.

Explanation:

Given;

mass, m = 3 .00 kg

initial speed of the mass, u = 25 m/s

distance traveled by the mass, d = 62.5 m

The acceleration of the mass is given as;

v² = u² + 2ad

at the maximum distance of 62.5 m, the final velocity of the mass = 0

0 = u² + 2ad

-2ad = u²

-a = u²/2d

-a = (25)² / (2 x 62.5)

-a = 5

a = -5 m/s²

the magnitude of the acceleration = 5 m/s²

Apply Newton's second law of motion;

F = ma

F = 3 x 5

F = 15 N

Therefore, the magnitude of the force required to bring the mass to rest is 15 N.

4 0
3 years ago
I need help with number 6
Otrada [13]
I like your handwriting boy
7 0
3 years ago
From the top of a cliff, a person tosses a pebble straight downward with an initial velocity of -9.0 meters/second. After 0.50 s
Irina-Kira [14]
Y - yo = Vo*t - g * (t^2) / 2

Vo = - 9.0 m/s
t = 0.50 s

=> y - yo = -9.0 m/s * 0.5 s - 9.8 m/s^2 * (0.5s)^2 / 2 = - 4.5m - 1.225m = - 5.725 m.

Answer: option c) - 5.7
8 0
3 years ago
Which of the following must be true for “P if and only if Q” to be true?
erastovalidia [21]
Explain or message me what your trying to ask!

6 0
3 years ago
Match the following ERA’s Question 4
inna [77]
1. Cenozoic ERA
2. Mesozoic ERA
3. Paleozoic ERA
8 0
3 years ago
Other questions:
  • (pleases show work)
    9·1 answer
  • Some life forms move so slowly that their movement cannot be detected by normal observation. The best way to determine any movem
    6·2 answers
  • The total amount of energy in the universe is
    6·1 answer
  • Compare and Contrast the following pairs of terms.
    5·1 answer
  • What is the speed of light in a vacuum
    7·2 answers
  • What happens to the speed of an object that is dropped in free fall
    13·1 answer
  • A train is pulling four train cars and each car has a mass of 40,000 kg. The train is accelerating at 1.1 m/s^2. What is the for
    12·2 answers
  • How is Uranus similar to Jupiter?
    9·2 answers
  • If a 2 kg ball is moving at 6 m/s to the right and then hits a wall and bounces back at - 4 m/s (left), what is the change in mo
    12·1 answer
  • 4. Sally applies a horizontal force of 462 N with a rope to drag a wooden crate across a floor with a constant speed. The rope t
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!