Solving Sine Waves Problem: Find Time for π Radians

In summary, a sine wave is a mathematical curve used to model various types of waves. To solve for time for π radians in a sine wave problem, you can use the formula t = π/f. If the problem asks for the time for a different number of radians, you can use the formula t = (θ/2π) * (1/f). You can also solve for the frequency of the wave if the time and angle are given by using the formula f = π/t. If the angle is given in degrees, it must be converted to radians using the formula θ (in radians) = (π/180) * θ (in degrees). Then, the same formulas can be used to solve for time or frequency
  • #1
luigihs
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A sine wave with a frequency of 10Hz and an amplitude of 5 units phases from zero to 2π radians in a complete cycle. How long does it take for the phase to reach a value of π radians?

y(t) = A . sin (2.π.f.t + φ)

0.1 = 5 x sin (2x∏x10x time + 3.14)

time = 0.038 seconds

But the answer suppose to be 0.005 and I got 0.038.

Thank you!
 
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anyone?
 

1. What is a sine wave?

A sine wave is a mathematical curve that describes a smooth periodic oscillation. It is a fundamental concept in trigonometry and is commonly used to model various types of waves, such as sound and light waves.

2. How do you solve for time for π radians in a sine wave problem?

To solve for time for π radians in a sine wave problem, you can use the formula t = π/f, where t is the time, π is the angle in radians, and f is the frequency of the wave. Simply plug in the values and solve for t.

3. What if the problem asks for the time for a different number of radians?

If the problem asks for the time for a different number of radians, you can use the formula t = (θ/2π) * (1/f), where θ is the angle in radians, f is the frequency of the wave, and t is the time. Simply plug in the values and solve for t.

4. Can you solve for the frequency of the wave if the time and angle are given?

Yes, you can solve for the frequency of the wave if the time and angle are given. You can use the formula f = π/t, where f is the frequency, t is the time, and π is the angle in radians. Simply plug in the values and solve for f.

5. What if the angle is given in degrees instead of radians?

If the angle is given in degrees, you will need to convert it to radians before plugging it into the formulas. To convert degrees to radians, you can use the formula θ (in radians) = (π/180) * θ (in degrees). Once you have the angle in radians, you can use the formulas mentioned in the previous questions to solve for the time or frequency.

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