Take the radius of the Earth to be 6,378 km. (a) What is the angular speed (in rad/s) of a point on Earth's surface at latitude 31° N? 0.0000727 rad/s (b) What is the linear speed (in m/s) of a point on Earth's surface at latitude 31° N? 397.45 m/s (c) At what latitude would your linear speed be 32 m/s? (Enter your answer in degrees north of the equator.) 76.52 |× °N

Take the radius of the Earth to be 6,378 km. (a) What is the angular speed (in rad/s) of a point on Earth's surface at latitude 31° N? 0.0000727 rad/s (b) What is the linear speed (in m/s) of a point on Earth's surface at latitude 31° N? 397.45 m/s (c) At what latitude would your linear speed be 32 m/s? (Enter your answer in degrees north of the equator.) 76.52 |× °N

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter1: Introduction And Vectors

Section: Chapter Questions

Problem 20P

See similar textbooks

Similar questions

The polar coordinates of a point are r = 5.50 m and = 240. What are the Cartesian coordinates of this point?
An arc 14.0 cm long on the circumference of a circle subtends an angle of 128°. What is the radius of the circle?
The average distance between Earth and the Sun is 1.5 ✕ 1011 m. (a) Calculate the average speed of Earth in its orbit (assumed to be circular) in meters per second (b) What is this speed in miles per hour? Please answer B
The angular elevation of a tower CD at a place A due south of it is 60°; and at a place B due west of A, the elevation is 30°. If AB = 3 km, what is the height of the tower?
Suppose A = (-2.28 m)i + (4.92 m)j, B = (2.69 m)i + (-3.81 m)j + (1.48 m)k, and D = (-3.56 m)i + (-3.89 m)j. What is the angle in degrees between D and A? What is the angle in degrees between D and B?
Kepler's third law states that the relationship between the mean distance d (in astronomical units) of a planet from the Sun and the time t (in years) it takes the planet to orbit the Sun can be given by d^3 = t^2. (A). It takes Venus 0.616 years to orbit the Sun. Find the mean distance of Venus from the Sun (in astronomical units). (B). The mean distance of Jupiter from the Sun is 5.24 astronomical units. How many years does it take Jupiter to orbit the Sun?
The polar coordinates of a point are 4π/3 and 5.50 m. What are its Cartesian coordinates?
A Tire has a radius of 0.34 m. If it is driven of 2.7 km, What is the total angle that it has rotated ?
How long a piece of wire would you need to form a circular arc subtending an angle of 1.2 rad , if the radius of the arc is 8.4 cm ? Express your answer using two significant figures.
Schwarzschild radius RS of a black hole is the maximum distance from the black hole’s center at which light cannot escape its gravitational field. The quantity RS (with dimensions of length) is dependent on the mass of the black hole M, the speed of light c, and the gravitational constant G. Based on the dimensions of these four parameters, predict an equation for the Schwarzschild radius. Hint: G has dimensions of [L3/MT2]
Two points in a plane have polar coordinates P1(2.500 m, π/6) and P2(3.800 m, 2π/3) . Determine their Cartesian coordinates and the distance between them in the Cartesian coordinate system. Round the distance to a nearest centimeter.
Tidal friction is slowing the rotation of the Earth. As a result, the orbit of the Moon is increasing in radius at a rate of approximately 4 cm/year. Assuming this to be a constant rate, how many years will pass before the radius of the Moon's orbit increases by 3.84×106 m (1%)?