How far will a skateboard travel in 30 seconds if traveling at a speed of 3 m/s
2 answers:
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Answer:
Explanation:
means initial angular velocity, which is 0 rev/min
means final angular velocity, which is
t means time t= 3.20 s
one revolution is equivalent to 2πrad so the final angular velocity is:
= (2π/60) *2.513*10^{4} rad/s
= 2628.5 rad/s
so the angular acceleration, α will be:
α = 2628.5 rad/s / 3.20 s
so the rotational motion about a fixed axis is:
+ 2αΔTita where ΔTita is the angle in radians
so now find the ΔTita the subject of the formula
ΔTita =
Answer:
<em>1.49 x </em><em></em>
<em></em>
Explanation:
Kepler's third law states that <em>The square of the orbital period of a planet is directly proportional to the cube of its orbit.</em>
Mathematically, this can be stated as
∝
<em>to remove the proportionality sign we introduce a constant</em>
= k
k =
Where T is the orbital period,
and R is the orbit around the sun.
For mars,
T = 687 days
R = 2.279 x
for mars, constant k will be
k = = 3.987 x
For Earth, orbital period T is 365 days, therefore
= 3.987 x
x
= 3.34 x
R =<em> 1.49 x </em><em></em>