Calculating Work with Angles

The video tutorial by Ray G explains how to calculate the work done by a force applied at an angle. It begins with a basic understanding of work as force times distance, applicable when force and movement are aligned. The tutorial then addresses real-life scenarios where force is applied at an angle, using two examples: pulling an object with a rope and pushing an object. The video demonstrates how to adjust the angle to the horizontal and apply the cosine function to calculate work done, providing step-by-step calculations for each example.

What is the basic formula for calculating work done by a force?

• Force plus distance

• Force times distance

• Force divided by distance

• Force minus distance

When is the basic formula for work applicable?

• When the force is at an angle to the movement

• When the force is zero

• When the force is aligned with the movement

• When the force is perpendicular to the movement

Which trigonometric function is used to adjust the force when it is applied at an angle?

• Secant

• Cosine

• Tangent

• Sine

In the first example, what is the angle used to calculate the work done?

• 160 degrees

• 20 degrees

• 180 degrees

• 90 degrees

How much work is done in the first example when a force of 50 newtons is applied at an angle of 20 degrees over a distance of 2 meters?

• 50 joules

• 100 joules

• 94 joules

• 80 joules

Why do we subtract 160 from 180 in the first example?

• To find the angle nearest to the vertical

• To find the angle nearest to the horizontal

• To find the total angle

• To find the angle of the rope

In the second example, what is the angle used to calculate the work done?

• 150 degrees

• 60 degrees

• 90 degrees

• 30 degrees

How much work is done in the second example when a force of 40 newtons is applied at an angle of 60 degrees over a distance of 5 meters?

• 100 joules

• 150 joules

• 200 joules

• 50 joules

What is the significance of using the cosine function in these calculations?

• It calculates the vertical component of the force

• It calculates the horizontal component of the force

• It calculates the total force

• It calculates the distance

What is the final unit of work calculated in these examples?

• Newtons

• Meters

• Joules

• Degrees