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The speed of a person standing on the equator, due to the earth's rotation.
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- The earth's radius is 6.37×106m6.37×106m; it rotates once every 24 hours. What is the speed of a point on the earth's surface located at 2/52/5 of the length of the arc between the equator and the pole, measured from equator?On an analog clock, what is the measure of the minor arc between 4:00 and 8:00 in radians?What if the perpendicular distance from the axis is infinity?
- If the radius of the earth is 6400 km, then the linear speed of a point on the equator will be nearly; (a) 200 km / hr (c) 1675 km / hr (b) 600 km/hr (d) 2000 km/hrEx. 77: An earth is rotating about its axis with a period of one day. If radius of earth is 6400 x 10 m, how much would the acceleration due to gravity (g) differ from poles to equator ?Express the following angles in radians: (a) 20.0°, (b) 50.0°, (c) 100°. Convert the following angles to degrees: (d) 0.330 rad, (e) 2.10 rad, (f) 7.70 rad.
- The planet Mars has two moons, phobos and delmos. (1) phobos has a period 7 hours, 39 minutes and an orbital radius of 9.4 × 10 km . Calculate the mass of mars. (ii) Assume that earth and mars move in circular orbits around the sun. with the martian orbit being 1: 52 times the orbital radius of the earth. What is the length of the martian year in days?Page 1 of 2 2. Earth is rotating about the Sun in our solar system. The distance between the Earth and Sun is 1.5 x 10"m. Consider the impact of an asteroid of mass 8.9 ×105 kg and a speed of 90,000 km/h with respect to the Earth's surface. The asteroid strikes the Earth at the equator as shown in Figure. Consider the mass and radius of the Earth are ME = 5.97 x 1024 kg and RE = 6.38 x10° m, respectively. Assume that the axial and orbital axis of rotations are parallel to each other. Earth North Pole (a) Calculate the axial and total angular momentum of the Earth. (b) What is the change in the angular velocity of the Earth due to the collision? (c) What is the maximum possible change in the length of a day due to the collision? (d) How much energy is needed to stop the Earth's rotation about its axis after the collision? (e) What would be the moment of inertia of the Earth if the axis of rotation is parallelly shifted so that it touches the equator?A projectile is fired straight upward from the Earth's surface with an initial speed of 33.3m/sec. What is it's speed after 2.8secs?
- The value of g at any latitude o may be obtained from the formula g = 32.09(1+ 0.0053 sin 4) ft/s? which takes into account the effect of the rotation of the earth, as well as the fact that the earth is not truly spherical. Determine (a) the weight in pounds, (b) the mass in pounds, (c) the mass in lb.s/ft, at the latitudes of 0°, 45°, and 60°, of a silver bar, the mass of which has been officially designated as 5 lb.Q. 24: If the distance between the earth and sun becomes (1/4) th, then its period of revolution around the sun will become.Our Sun is 2.3 * 104 ly (light-years) from the center of our Milky Way galaxy and is moving in a circle around that center at a speed of 250 km/s. (a) How long does it take the Sun to make one revolution about the galactic center? (b) How many revolutions has the Sun completed since it was formed about 4.5 *109 years ago?