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uranmaximum [27]

3 years ago

10

A bucket filled with water has a mass of 23 kg and is attached to a rope, which in turn, is wound around a 0.050-m radius cylind

er at the top of a well. What torque does the weight of water and bucket produce on the cylinder if the cylinder is not permitted to rotate

1 answer:

Cloud [144]3 years ago

5 0

Answer:11.27 Nm

Explanation:

Given

mass of bucket with water is $m=23\ kg$

radius of cylinder $r=0.05\ m$

If the cylinder is not permitted to rotate

Torque is given by the product of Force and distance of force from axis of rotation

$T=F\times r$

where F=weight of bucket with water

$F=mg$

$T=mg\times r$

$T=23\times 9.8\times 0.05$

$T=11.27\ Nm$

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<h3>Further explanation</h3>

Acceleration is rate of change of velocity.

$\large {\boxed {a = \frac{v - u}{t} } }$

$\large {\boxed {d = \frac{v + u}{2}~t } }$

<em>a = acceleration (m / s²)v = final velocity (m / s)</em>

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<em>a = centripetal acceleration ( m/s² )</em>

<em>v = velocity ( m/s )</em>

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Let us now tackle the problem!

<u>Given:</u>

Radius of horizontal circle = R = 11.0 m

Force Felt by the Trainee = F = 7.80w

<u>Unknown:</u>

Velocity of Rotation = v = ?

<u>Solution:</u>

$F = ma$

$F = m\frac{v^2}{R}$

$7.80w = m\frac{v^2}{R}$

$7.80mg = m\frac{v^2}{R}$

$7.80g = \frac{v^2}{R}$

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<h3>Learn more</h3>

Velocity of Runner : brainly.com/question/3813437

Kinetic Energy : brainly.com/question/692781

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The Speed of Car : brainly.com/question/568302
Uniform Circular Motion : brainly.com/question/2562955
Trajectory Motion : brainly.com/question/8656387

<h3>Answer details</h3>

Grade: High School

Subject: Physics

Chapter: Circular Motion

Keywords: Velocity , Driver , Car , Deceleration , Acceleration , Obstacle , Speed , Time , Rate , Circular , Ball , Centripetal

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3 years ago

Read 2 more answers