THS Trig linear and angular velocity Practice

Front

What is angular velocity?

Back

Angular velocity is the rate of change of angular displacement with respect to time, typically measured in radians per minute (rad/min).

Front

How do you convert revolutions to radians?

Back

To convert revolutions to radians, multiply the number of revolutions by 2π.

Tags

CCSS.HSF.TF.A.1

Front

What is the formula for linear velocity?

Back

Linear velocity (v) can be calculated using the formula v = ω * r, where ω is the angular velocity in radians per minute and r is the radius in inches.

Front

If a fan rotates at 45 rpm, what is its angular velocity in rad/min?

Back

Angular velocity = 45 rpm * 2π = 282.7 rad/min.

Tags

CCSS.HSF.TF.A.1

Front

What is the linear velocity of a point on a rotating object?

Back

Linear velocity is the distance traveled by a point on the edge of a rotating object per unit of time.

Front

How do you calculate the speed of a car from the angular velocity of its wheels?

Back

First, calculate the angular velocity (ω) of the wheels, then use the formula v = ω * r to find the linear speed, and convert to miles/hour.

Front

What is the relationship between radius and linear velocity?

Back

Linear velocity increases with an increase in radius for a given angular velocity.

Front

If a wheel has a radius of 11 inches and rotates at 600 rpm, what is its speed in miles/hour?

Back

Speed = 39.3 miles/hour.

Front

What is the diameter of a wheel if its radius is 13 inches?

Back

The diameter is 26 inches (diameter = 2 * radius).

Tags

CCSS.7.G.B.4

Front

How do you find the linear speed of a rotating wheel?

Back

Linear speed can be found using the formula v = ω * r, where ω is in rad/min and r is in inches.