Exploring Arc Length in Circular Motion

What must you do when given the diameter in a problem?

• Ignore it if the radius is also given

• Divide it by 2 to find the radius

• Multiply it by 2 to find the circumference

• Use it directly as the radius

What is the first visual position of the beetle in the demonstration?

• At the bottom of the wheel

• Halfway up the wheel

• Outside the wheel

• At the top of the wheel

How many degrees are in a complete turn of the wheel?

• 360 degrees

• 180 degrees

• 90 degrees

• 270 degrees

What formula is used to convert degrees to radians?

• Radians = Degrees - π / 180

• Radians = Degrees * π / 180

• Radians = Degrees / π * 180

• Radians = Degrees + π

What is the radius used in calculating the arc length?

• 0.5 meters

• 0.75 meters

• 1.5 meters

• 0.375 meters

What is the angular displacement used in the arc length calculation?

• 2π radians

• π/2 radians

• π radians

• 2 radians

What unit is used to express the linear distance traveled by the beetle?

• Meters

• Degrees

• Meter radians

• Radians

Why are radians considered dimensionless?

• Because they are a unit of length

• Because they do not have a physical dimension

• Because they can be converted to meters

• Because they represent angles

What is the correct way to express the arc length in terms of units?

• In meter radians

• In degrees

• In meters

• In radians

Why is it important to convert measurements in physics problems?

• To ensure accuracy in calculations

• To confuse students

• To use fewer numbers

• To make the problems easier