The rotor blades of a helicopter are 13 ft long and are rotating at 190 rpm. (a) Find the angular speed, ω, of the rotor.   (b) Find the linear speed, v, of a point on the tip of a blade.

(g) A helicopter hovers 750 feet above a small island in the ocean. A person sees the helicopter with an angle of elevation of 60° with the horizon while swimming in the ocean. How far is the person from the helicopter?

1. An airplane heads due north at 280 mph. It experiences a 38 mph crosswind flowing in the direction of N60°E. Find the true velocity vector of the airplane in terms of I and j. Then find the true SPEED of the airplane.

A tow truck drags a stalled car along a road. The chain makes an angle of 30° with the road and the tension in the chain is 1800 N. How much work is done by the truck in pulling the car 1 km? J

The minute hand of a wall clock measures 24 cm from its tip to the axis about which it rotates. The magnitude and angle of the displacement vector of the tip are to be determined for three time intervals. What are the magnitude and angle from a quarter after the hour to half past, the magnitude and angle for the next half hour, and the magnitude and angle for the hour after that? (Use a coordinate system with the origin at the clock center, +x rightward toward the "3:00" position, and +y upward toward the "12:00" position.) (a) the magnitude from a quarter after the hour to half past cm(b) the angle from a quarter after the hour to half past ° (counterclockwise from the +x-axis)(c) the magnitude for the next half hour cm(d) the angle for the half hour in part (c) ° (counterclockwise from the +x-axis)(e) the magnitude for the hour after that cm(f) What is the angle for the hour in part (e) ° (counterclockwise from the +x-axis)

An old fashioned pirate ship departs from Pirate Island at a bearing of 30º. The ship  travels 30 km/h for 2 hours when it reaches Buccaneer Bay, where all of the treasure is buried. The ship drifts away from the bray for 4.5 hours at 12 km/h at an unknown bearing. While most of the pirates celebrate pirate things, the navigator wakes up from her nap and sees Pirate Island due East. The angle between the ship’s path and Pirate Island is 105.8º.   a. Find the bearing of the ship’s current location from Buccaneer Bay. b.Find the distance from the ship to Pirate Island.