Center, to seek, curved path. Gravity us the centripetal force that keeps the planet orbiting around the sun.
Linear velocity and angular velocity are related by the formula:
v = ωr
ω = n2πr/t, where n is the number of rotations, t is the time taken, r is the radius.
ω = 2 x 2π x 25/1
ω = 100π
v = 100π x 25
= 2500π feet per minute
Answer:
The magnitude of the induced emf is
Ф = 5.419 x 10⁻³ V
Explanation:
Given:
r = 23.0 cm = 0.23 m
β₁ = 0.50 T
β₂ = 2.50 * 0.50 T = 1.25 T
Calculate the magnitude of the induced emf the magnetic field is increasing
Ф = A * Δβ / Δt
A = π * r² = π * 0.23² m = 0.166 m²
Ф = 0.166m² * (1.25 - 0.5) T / 23 s
Ф = 5.419 x 10⁻³ V
The velocity of the car was 4.93m/s and the direction was northeast.
<h3>Calculation</h3>
It is given,
time of the trip = t = 3 minutes = 180 seconds
1st distance A = 1500ft = 457.2m east
2nd distance B = 2500ft = 762m north
We are asked to find the average velocity.
First, we get the resultant distance magnitude by applying Pythagoras theorem to find the hypotenuse.
![A^{2} + B^{2} =C^{2} \\C=\sqrt[]{A^{2} +B^{2} } \\C=\sqrt{457.2^{2} +762^{2} } \\C= 888.63m](https://tex.z-dn.net/?f=A%5E%7B2%7D%20%2B%20B%5E%7B2%7D%20%3DC%5E%7B2%7D%20%5C%5CC%3D%5Csqrt%5B%5D%7BA%5E%7B2%7D%20%2BB%5E%7B2%7D%20%7D%20%5C%5CC%3D%5Csqrt%7B457.2%5E%7B2%7D%20%2B762%5E%7B2%7D%20%7D%20%5C%5CC%3D%20%20888.63m)
Then we have
Velocity = Distance/time
Velocity = 888.63/180
Velocity = 4.93 m/s
Then the direction is northeast.
To know more about Pythagoras theorem, visit:
brainly.com/question/343682
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