1. A wheel has a radius of 14 feet. The wheel is rotating at 21 revolutions per minute. Find the angular and linear speed. Leave your answer in terms of "pi".
what is angular and linear speed?
"Angular speed" should be defined in your book. There is more than one definition
. But since "21 revolutions per minute" is given in the exercise, that's probably not what they want. Maybe "radians per minute", with one rotation being
"Linear speed" is the distance you'd cover on the ground if the wheel were rolling down the road. You find the circumference (using
) and then multiply by the number of times that circumference has spun around.
2. A guy wire fifty feet long is attached to the top of a pole forty feet tall. THe wire is also attached to the ground at a point thirty feet from the base of the pole. Find the angle of elevation. Round your answer to two decimal places.
i did a picutre but what next?
Use one of the trig ratios for a right triangle. Once you've set up the ratio, use the "inverse (whatever trig function you've chosen)" button on your calculator to find the angle measure.
Make sure the calculator is in "degree" mode!