# An object with a mass of #2 kg# is hanging from an axle with a radius of #3 m#. If the wheel attached to the axle has a radius of #14 m#, how much force is needed to raise the object?

The force is

The load is

The radius of the axle is

The radius of the wheel is

The effort is

The acceleration due to gravity is

Taking moments about the center of the axle

The force is

By signing up, you agree to our Terms of Service and Privacy Policy

To calculate the force needed to raise the object, we can use the principle of torque.

The torque exerted by the object hanging from the axle can be calculated as the product of the force of gravity and the radius of the axle:

( \tau = F \cdot r_{axle} )

Where: ( \tau ) = torque ( F ) = force of gravity (weight) acting on the object ( r_{axle} ) = radius of the axle (given as 3 m)

The force of gravity ( F ) can be calculated using Newton's second law:

( F = m \cdot g )

Where: ( m ) = mass of the object (given as 2 kg) ( g ) = acceleration due to gravity (approximately ( 9.8 , m/s^2 ))

Then, we can substitute the value of ( F ) into the torque equation:

( \tau = (2 , kg \cdot 9.8 , m/s^2) \cdot 3 , m )

Now, calculate the torque exerted by the object hanging from the axle.

Next, we need to find the force needed to raise the object, which is the torque divided by the radius of the wheel:

( F_{raise} = \frac{\tau}{r_{wheel}} )

Where: ( F_{raise} ) = force needed to raise the object ( r_{wheel} ) = radius of the wheel (given as 14 m)

Now, substitute the values into the equation and calculate the force needed to raise the object.

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- How much work does it take to raise a #87 kg # weight #5 m #?
- How much heat energy is produced by 0.5 Wh of electrical energy?
- How much work would it take to push a #12 kg # weight up a # 5 m # plane that is at an incline of # pi / 12 #?
- A wagon is pulled by a force of 60 pounds on the handle at an angle of 45 degrees to horizontal. What is the work done in moving the wagon 50 feet up a 15 degree hill?
- A pulley system with 75% efficiency is set up to lift a 21kg bag of nails. The bag is lifted to a height of 2.3m by a person pulling on the rope with a force of 91.5N. What is the ideal mechanical advantage of this pulley system?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7