Physics, 14.01.2020 19:31 lmoleary7466
What is the linear speed of a point (a) on the equator, (b) on thearctic circle (latitude 66.5o n), and (c) at a latitudeof 45.0 degrees n, due to the earth's rotation?
for part (a), i used the equation w = a/t to represent that theearth rotates once a day on its axis. a point on the equatorthus rotates through 2πradians in 24 hours, so
w = a/t = (2π) / (24 hr) = (6.28 rad) / (24hr x 3600 s/hr) = 7.27 x 10-5 rad/s
since the radian is a unitless measure it is not necessary toinclude it in the units for a quantity.
the radius of the earth is re = 6.4 x 106 m, so:
v = wr = (7.27 x 10-5 rad/s)(6.4 x106 m) = 465 m/s = 1674 km/hr
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What is the linear speed of a point (a) on the equator, (b) on thearctic circle (latitude 66.5o n),...
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