A submarine climbs at an angle of radians (30°) above the horizontal with a heading to the southeast. If its speed is 20 knots, find the components of the velocity in the east, north, and up directions.

A submarine climbs at an angle of radians (30°) above the horizontal with a heading to the southeast. If its speed is 20 knots, find the components of the velocity in the east, north, and up directions.

Trigonometry (MindTap Course List)

8th Edition

ISBN:9781305652224

Author:Charles P. McKeague, Mark D. Turner

Publisher:Charles P. McKeague, Mark D. Turner

Chapter3: Radian Measure

Section3.5: Velocities

Problem 61PS: A gear train consists of three gears meshed together (Figure 9). The middle gear is known as an...

See similar textbooks

Related questions

Q: An object is traveling around a circle with a radius of 9 inches. If in 10 seconds a central angle…

A: Given: radius of circle r = 9 inches time taken t = 10 sec angular swept out θ = 1/2…

Q: The ________ speed of a particle is the ratio of the change in the central angle to the elapsed…

A: The ........ speed of a particle is the ratio of the change in the central angle to the elapsed…

Q: Find the linear speed v for the tip of the second hand of a clock, if the hand is 28 mm long

A: Given: Length of second hand of clock is 28 mm long.

Q: What is the vertical component of the ball's location, after it has spun through an angle of…

Q: An object is traveling around a circle with a radius of 13 meters. If in 10 seconds a central angle…

A: Given, An object is travelling around a circle with a radius of 13 meters. If in…

Q: A truck is moving at a rate of 105 kilometers per hour, and the diameter of each of its wheels is 1…

A: A truck is moving at a rate of 105 kilometers per hour, and the diameter of each of its wheels is 1…

Q: The angular velocity of a wheel is 10 revolutions per second. What is the linear velocity in cm per…

A: Given: Angular velocity=10 revolutions per second……1Diameter =60 cm……2

Q: A river is flowing at 2.4 mph when a girl rows across it. If the girl rows at a still-water speed…

A: The velocity of water flowing in the river is 2.4 mph. The velocity with which the girl rows is her…

Q: A Ferris wheel 150 feet in diameter makes one revolution every 3 minutes. What is the angular speed…

A: Given that, Diameter = 150 feet and Time period, T = 3 minutes. Then, The angular speed is…

Q: A plane flies due west for 2 hr then due south for 1 hr at an average speed of 375 mph. To the…

Q: A circular blade with a 12-inch diameter spins at a rate of 1800 rpm (revolutions per minute). What…

A: Hi! This question falls under physics. This time we are answering is but kindly post questions under…

Q: A truck with 38 inch diameter wheels is traveling at 55 mi/h Find the angular speed of the wheels…

A: Given the diameter of the truck wheel is 38 inch and it is travelling at 55 mi/h.

Q: An object is traveling around a circle with a radius of 10 feet. If in 50 seconds a central angle…

Q: What would the distance value be using the law of cos?

A: This question is related to triangles, we will use law of cosines to solve this problem.

Q: An object is traveling around a circle with a radius of 10 m. If in 50 seconds a central angle of…

Q: A rock is thrown downward from the top of a building, 168 ft high, at an angle of 60 ◦ with the…

A: Use the displacement formula, x=v0(cos θ)t and substitute v0 with 80 and θ with 60° to get x=40t.…

Q: The tangent of 90 degrees is____________

A: Given the angle =90 degrees. We need to find the tangent of 90 degrees.

Q: A truck with 54-in.-diameter wheels is traveling at 45 mi/h. (a) Find the angular speed of the…

Q: A wheel is rotating at 7 radians/sec, and the wheel has a 61-inch diameter. To the nearest foot,…

A: Explained below

Q: If a windmill makes 20 full revolutions every 1 minute, what is its angular speed? Enter an exact…

Q: An object is traveling around a circle with a radius of 10 centimeters. If in 20 seconds a central…

Q: At what rate is the angle between a clock's minute and hour hands changing at 7 o'clock in the…

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: An airplane is heading north at an airspeed of 550 km/hr, but there is a wind blowing from the…

Q: A race car is driven around a circular track at a constant speed of 180 mph. If the diameter of the…

Q: A bicycle with 20-inch diameter wheels is traveling at 16 mi/h. Find the angular speed of the wheels…

Q: The diameter of each wheel of a bike is 27 inches. If you are traveling at a speed of 27 miles per…

Q: Two pulleys of a diameter 9 meters and 3 meters are connected by a belt. The larger pulley rotates…

A: Given, The diameters of two pulleys are 9 meters and 3 meters.

Q: A truck with 48-in.-diameter wheels is traveling at 50 mi/h.(a) Find the angular speed of the wheels…

Q: An object is traveling around a circle with a radius of 9 inches. If in 50 seconds a central angle…

A: To determine: The linear and angular speeed of the given object. Given: Radius = 9 inch Time = 50…

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: On what the distance an object travels depend?

A: We know that the distance travelled by an object is given by Distance=Speed × Time Where…

Q: satellite is orbiting the earth at 20,000 mph. If the radius of the orbit is 4,300 miles, what is…

Q: A 21m tall house has an angular size of 2.2 degrees when viewed from a distance. How far away is the…

A: Recall the following. Angular size=sizedistance

Q: A bicycle with 24-inch diameter wheels is traveling at 15 mi/h. Find the angular speed of the wheels…

A: Given: Diameter = 24 in So, Radius(r) = 242=12 in And, speed V=15 mi/h…

Q: An object is traveling around a circle with a radius of 6 centimeters. If in 20 seconds a central…

Q: An airplane is heading north at an airspeed of 800 km/hr, but there is a wind blowing from the…

A: Draw a schematic diagram of given question.

Q: A wheel of radius 9 ft is turning at the rate of 200 rpm. A) What is its angular speed in radians…

A: A wheel of radius 9 ft is turning at the rate of 200 rpm.

Q: A wheel is rotating 5 radians per second, and the wheel has a 71 inch diameter. What is the speed of…

Q: The first gear in a single-stage gear train has 40 teeth and an angular velocity of 1 revolution per…

A: We are given that, the first gear in a single-stage gear train has 40 teeth and an angular velocity…

Q: A pole casts a shadow of 30 ft at one time and a shadow of 15 ft at a later time when the angle of…

Q: An airplane is heading north at an airspeed of 650 km/hr, but there is a wind blowing from the…

A: Given AC = 650 km/hr AB = 30 km/hr BC = resultant from triangle ABC, cosine rule,…

Q: An object is traveling around a circle with a radius of 12 feet. If in 20 seconds a central angle of…

Q: A truck with 48-in.-diameter wheels is traveling at 50 mi/h. (a) Find the angular speed of the…

Q: An aricraft is flying at 430 ft/s with an elevation of 150 ft from the ground, on a straight-line…

A: The diagram is shown below: Given:dxdt=430 ft/secHeight, AB= 150 ft

Q: A ball is thrown with an initial velocity of 70 km per second, at an angle of 35° with the…

Q: An object is traveling around a circle with a radius of 8 feet.If in 40 seconds a central angle of…

A: Angular speed , ω =Angle Time = θT Linear speed, v = ω.r ; where 'r' is radius and 'ω' is Angular…

Q: A gun with a muzzle velocity of 1040 ft/ sec is fired at an angle of 16° above the horizontal. Find…

A: Given that muzzle velocity = 1040 ft/secangle θ=16° above the horizontal To find : the horizontal…

Q: A ball is thrown at an angle of 45o to the ground. If the ball lands 90 m away, what was the initial…

Q: At what rate is the angle between a clock's minute and hour hands changing at 7 o'clock in the…

A: To find: Rate of change of angle between a clock's minute and hour hand at 7 AM. In other words, the…

Question

A submarine climbs at an angle of radians (30°) above the horizontal with a heading
to the southeast. If its speed is 20 knots, find the components of the velocity in the east,
north, and up directions.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Considering that the consecutive dials on the natural gas meter rotate in opposite directions, what is the current reading in cubic feet of usage? The initial direction is clockwise.
If two ships are 70 nautical miles apart on the ocean, what is the great circle distance between them in radians?
Considering that the consecutive dials on the electric meter rotate in opposite directions, what is the current reading in kilowatt hours of usage? The initial direction is clockwise.
Object A is travelling along a circle of radius 2, and Object B is travelling along a circle of radius 5. The object have the same angular speed. Do the objects have the same linear speed? If not, which object has the greater linear speed?
The circular blade on a saw has a radius of 4 inches and it rotates at 2400 revolutions per minute. a. Find the angular speed of the blade in radians per minute. b. Find the linear speed of the edge of the blade.
Express the lengths a and b shown in the figure in terms of .
A two-stage gear train consists of four gears meshed together (Figure 10). The second and third gears are attached, so that they share the same angular velocity (2=4). Find a formula giving the angular velocity of the fourth gear, 2, in terms of 1 and the values of n1,n2,n3andn4.