Answer:
9
Explanation:
2.13 rad/s * 26.9 sec
2.13 * 26.9
57.297
3282.88 deg / 360 deg = 9.12
It makes 9 complete revolutoins
Answer:
B = 191.26 cm
θ = -14.73°
Explanation:
given,
magnitude of the first displacement(A) = 146 cm
at an angle of 124°
resultant magnitude = 137 cm
and angle made with x-axis by the resultant(R) = 32.0°
component of A in X and Y direction
A x = A cos θ = 146 cos 120° = -73 cm
A y = A sin θ = 146 sin 120° = 126.4 cm
now component of resultant in x and y direction
R x = 137 cos 35°
= 112.2 cm
R y = 137 sin 35°
= 78.6 cm
resultant is the sum of two vectors
R = A + B
R x = A x + B x
B x = 112.2 - (-73) = 185.2 cm
B y = R y - A y
B y = 78.6 - 126.4 = -47.8 cm
magnitude of B
B = ![\sqrt{B_x^2+B_y^2}](https://tex.z-dn.net/?f=%5Csqrt%7BB_x%5E2%2BB_y%5E2%7D)
B = ![\sqrt{185.2^2+-47.8^2}](https://tex.z-dn.net/?f=%5Csqrt%7B185.2%5E2%2B-47.8%5E2%7D)
B = 191.26 cm
angle![\theta = tan^{-1}\dfrac{-47.8}{185.2}](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20tan%5E%7B-1%7D%5Cdfrac%7B-47.8%7D%7B185.2%7D)
θ = -14.73°
A line from second to home creates a right triangle with 45 degree angles.
This makes the diagonal line the side length of the square multiplied by the sqrt(2)
Second to home = 90sqrt(2) = 127.279 feet ( round answer as needed)
Explanation:
1.
the rate at which something occurs over a particular period of time or in a given sample.
"an increase in the frequency of accidents due to increased overtime"
2.
the rate per second of a vibration constituting a wave, either in a material (as in sound waves), or in an electromagnetic field (as in radio waves and light).
"different thicknesses of glass will absorb different frequencies of sound"
The North Shore mountains