The rotor blades of a helicopter are 11 ft long and are rotating at 120 rpm. (a) Find the angular speed, ω, of the rotor. ω =       rad/min (b) Find the linear speed, v, of a point on the tip of a blade. v =           ft/min

Q: High-speed stroboscopic photographs show that the head of a 200-g golf club is traveling at 40 m/s…

A: Given,      mclub…

Q: A truck with 40-in.-diameter wheels is traveling at 60 mi/h. Find the angular speed of the wheels in…

A:

Q: A Ferris wheel has a radius of 30 feet. you measure the time it takes for one revelation to be 70…

A: Given,          A Ferris wheel has a radius of 30 feet. You measure the time it takes for one…

Q: A motorboat traveling across a wide river is headed 50 degrees north of west at a rate of constant…

A:

Q: How do you find a vector's magnitude and direction?

A:

Q: A jogger parks her car 80m directly across from a trail that is parallel to the parking lot. Given…

A: A jogger parks her car 80m directly across from a trail that is parallel to the parking lot. Given…

Q: A pulley is driven by a belt moving at a speed of 23.0 feet per second. If the pulley is 8 inches in…

A: circular motion  angular velocity

Q: Elijah just turned 4 and received a new tricycle for his birthday. The diameter of the front wheel…

A: Given The diameter of the front wheel is 24 inch and back wheel is 8 inch On pedaling the diameter…

Q: You are standing 20 feet from the base of a monument. The angle formed by the ground and your line…

A:

Q: A man walks 95 km East the 55 km North. Calculate his resultant displacement and direction.

A: Solution :-

Q: 16. A pilot flies on a heading of 320° with an air speed of 240 km/h. Her actual ground velocity is…

A:

Q: A rider in a road bike race had an average linear speed of 40.756km/hr. The wheel of his bicyle had…

A: Given:

Q: On a weed-cutting device, thick nylon line rotates on a spindle at 3000 rpm. a. Determine the…

A:

Q: Two children are throwing a ball back-and-forth straight across the back seat of a car. THe thrown…

A: Topic - angle between vectors

Q: A pulley is driven by a belt moving at a speed of 15.7 feet per second. If the pulley is6 inches in…

A:

Q: What is the linear speed per hour of Shreveport due to the rotation of the earth. The latitude of…

A: Given that: The latitude of Shreveport is 32.53oN Radius of earth, R=3959 miles

Q: . The rotor blades of a helicopter are 16 ft long and are rotating at 12 (a) Find the angular speed…

A: Given that: Length of rotor blades, R = 16 ftAngular frequency, ω=120 rpm

Q: A baseball is thrown with a speed of 70 mph at an angle 14 degrees of from the horizontal. Write the…

A:

Q: When being burned in a writable CD-R drive, the angular speed of a CD is often much faster than when…

A:

Q: An airplane is headed on a bearing of 156° at an airspeed of 252 km per hr. A 53 km per hr wind…

A:

Q: The rotor blades of a helicopter are 16 ft long and are rotating at 120 rpm.(a) Find the angular…

A: The rotor blades of a helicopter are 16 ft long and are rotating at 120 rpm.   We have to (a) Find…

Q: 4. A bullet is fired from ground level at a speed of 2200 feet per second at an angle of 30° from…

A: This is a problem related to vector components. Based on the general formula and concept we will…

Q: A ceiling fan with 16-in. blades rotates at 50 rpm. (a) Find the angular speed of the fan in…

A: Given: Speed in rpm is 50. Blade length of fan is 16 in. a) Determine the angular speed. ω  =2πN…

Q: An airplane is headed on a bearing of 160° at an airspeed of 209 km per hr. A 49 km per hr wind…

A:

Q: The rotor blades of a helicopter are 14 ft long and are rotating at 110 rpm. (a) Find the angular…

A:

Q: A plane flies at an airspeed (speed in still air) of 462 miles per hour on a bearing of N 35 o E. An…

A: Consider that a plane flies at airspeed of 462 miles per hour in the direction of N 35 degree E. An…

Q: Calculate the cosine of the angle which the vector 2i+2j-k makes with the positive x-axis

A: Given: find the cosine of the angle which the vector 2i+2j-k makes with positive x axis

Q: You are walking to a bus stop at a right-angle corner. You move north at a rate of 2 m/sec and are…

A: Sol:-         From the figure,                 tanθ = xy                  →θ = tan-1xy…

Q: Calculate the angle between the vectors and . Write your final answer in radians, either as an…

A:

Q: A wheel with radius of 9 inches is revolving at 2400 RPM. Find the angular speed of the wheel. Find…

A: Given that a wheel has a radius of 9 inches and revolving at 2400 rpm. We need to find i)the angular…

Q: A bullet is fired with a muzzle velocity of 1235 ft/sec from a gun aimed at an angle of 13° above…

A:

Q: You are riding a bike whose wheels are 10 inches in diameter if the wheels move at 4 revolutions per…

A:

Q: On a weed-cutting device, a thick nylon line rotates on a spindle at 3000 rpm. (show all work) a)…

A: On a weed-cutting device, a thick nylon line rotates on a spindle at 3000 rpm. (show all work)a)…

Q: A racecar is driven around a circular track at a constant speed of 180 miles per hour. If the…

A: To find the angular speed, first, evaluate the radius of the circular path. Since the diameter (d)…

Q: A statue 12 feet high is standing on a base 15 feet high. If an observer's eye is 5 feet above the…

A:

Q: nd the an

A: Here we have, u→=cosπ3i+sinπ3j ........................................ (1)  v→=cos3π4i+sin3π4j…

Q: Elijah just turned 4 and received a new tricycle for his birthday. The diameter of the front wheel…

A: Circle Related Problem

Q: Two vertical poles are 200 m apart and the height of one is double that of the other. From the…

A: Given :          Two vertical poles are 200 m apart and the height of one is double that of the…

Q: The rotor blades of a helicopter are 13 ft long and are rotating at 190 rpm. (a) Find the angular…

A:

Q: An airplane is headed on a bearing of 123° at an airspeed of 226 km per hour. A 49 km per hour wind…

A: We have been given that an airplane is headed on a bearing of 123° at an airspeed of 226 km per…

Q: 9. A car is traveling at 37 mph. If its tires have a diameter of 24 inches, find the angular speed…

A:

Q: A plane is flying at a speed of 540 miles per hour on a bearing of S36°E. Its ground speed is 500…

A: The ground speed is given by the magnitude of v+w. v+w=500cos314°+500sin314°≈347.33i-359.67j

Q: A boat is sailing at a bearing of 140° with a speed of 26 mph. It hits a current of 8 mph at a…

A: Given - A boat is sailing at a bearing of 140° with a speed of 26 mph. It hits a current of 8 mph at…

Q: Sally is throwing snowballs from a floor 5 feet above the ground with an initial speed of 24…

A:

Q: The rotor blades of a helicopter are 12 ft long and are rotating at 180 rpm. (a) Find the angular…

A:

Q: A ship leaves a port and sails 450 km due west. It then sails 600 km due north. What is the ship’s…

A: Given that, A ship leaves a port and sails 450 km due west. It then sails 600 km due north.   Let x…

Q: You are standing at ground level, 5000 ft away from where a rocket is being launched (pictured…

A: Using right angle triangle tan(θ)=Opposite sideAdjacent sidetan(θ)=h5000

Q: Which is traveling faster, a car whose velocity vector is 27i⃗ +32j⃗ , or a car whose velocity…

A:

Q: A quarterback throws a football with an angle of elevation 40° and speed 40 ft/s. Find the…

A:

Q: Christine is 300 meters away from the launch pad of a hot air balloon. The hot air balloon rises…

A: