A circular track has an inside cirumference of 220m. If the width of track is 3.5m, find its outer circumference.
1 answer:
Answer:
Lc = 242 [m]
Explanation:
The circumference is defined as the circumference length of a circle, this length can be calculated by means of the following equation.
where:
Lc = circumference length = 220 [m]
r = radius [m]
Now we can clear r
Now we can determine the outer radius with the inner diameter plus the width of the track.
R = r + 3.5
R = 35.01 + 3.5 = 38.51 [m]
The outer circumference is:
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According to Ohm’s law, the ratio of voltage to current in a conductor is constant.
Answer: Option A
<u>Explanation:</u>
Ohm's law defines that an electric current flowing through the conductor between two ends is directly proportionate to the voltage at these two points. The introduction of a constant proportionality, resistance, gives a simple mathematical equation describing this relationship. Particularly, Ohm's law also mentions that R is constant in this respect, i.e. not dependent on the current.
Where,
I is the current conduction in amperes
V is the voltage calculated by the conductor in volts
R is the conductor’s resistance in ohms.
Answer:
a) v₀ = 69.29 m / s , b) t = 18.84 s
Explanation:
a) For this exercise we will use the projectile launch equations
x = v₀ₓ t
y = y₀ + t - ½ g t²
Let's fix our reference system on the volcano, so the horizontal distance x = 1 km = 1000 m and the vertical distance y = -900 m, the initial height of the crater is I = 0 m. Let's replace to find the speeds
v_{oy} = v₀ sin θ
v₀ₓ = v₀ cos θ
y = v₀ sin θ (x / v₀ cos θ) - ½ g (x / v₀ cos θ)2
y = x tan θ - ½ g x² / v₀² sec² θ
½ g x² sec² θ / v₀² = x tan θ - y
v₀² = ½ g x² sec² θ / (x tan θ –y)
Let's calculate
v₀² = ½ 9.8 1000² sec² 40 / (1000 tan 40 - (-900))
v₀ = √ (8.35 10⁶ / 1,739 10³)
v₀ = 69.29 m / s
b) Flight time
x = v₀ₓ t
t = x / v₀ cos θ
t = 1000 / 69.29 cos 40
t = 18.84 s