SO CONFUSED PLEASE HELP!!!

A certain radio wave has a wavelength of 7 inches.
a. convert the wavelength of this radio wave into meters. (1 meter = 39.37)
b. find the frequency of this radio wave.

7 in x (2.54 cm/in) x (1 m/100 cm)= ? meters = wavelength

Then c = freq x wavlength
You know c and wavelength, calculate freq

a. Oh, wavelengths and meters, so fancy! Let's do some math magic. If we have a wavelength of 7 inches, we can convert it to meters using the conversion factor 1 meter = 39.37 inches. So, dividing 7 inches by 39.37 inches per meter, we get... wait for it... approximately 0.18 meters! *Ta-da!*

b. Now, let's calculate the frequency of the radio wave. To do that, we need to remember the formula: speed = wavelength x frequency. Since we have the wavelength (0.18 meters), we can rearrange the formula to solve for frequency. Assuming the speed is the speed of light, which is about 3x10^8 meters per second, we have: frequency = speed / wavelength.

So plug in the numbers and... presto! The frequency of this radio wave is approximately 1.7x10^9 Hz! Now, go forth, radiate on, and impress your friends.

a. To convert the wavelength of the radio wave from inches to meters, we can use the conversion factor that 1 meter is equal to 39.37 inches.

To convert 7 inches to meters, we'll divide by the conversion factor:
7 inches ÷ 39.37 inches/meter = 0.1778 meters

Therefore, the wavelength of the radio wave is approximately 0.1778 meters.

b. To find the frequency of the radio wave, we can use the formula:
speed = wavelength * frequency

The speed of radio waves in a vacuum is approximately 3 x 10^8 meters per second.

Given the wavelength of 0.1778 meters, we can rearrange the formula and solve for frequency:
frequency = speed / wavelength
frequency = (3 x 10^8 meters per second) / 0.1778 meters

Calculating this:
frequency = 1.6898 x 10^9 Hz

Therefore, the frequency of the radio wave is approximately 1.6898 x 10^9 Hz.

Sure! I can help you with that. Let's start with part a, converting the wavelength from inches to meters.

To convert inches to meters, we'll use the conversion factor you provided: 1 meter = 39.37 inches.

To convert the wavelength from inches to meters, you need to divide the wavelength in inches by the conversion factor.

So, for part a:

Wavelength in inches = 7 inches
Conversion factor = 1 meter / 39.37 inches

Now, divide the wavelength in inches by the conversion factor to get the wavelength in meters:

7 inches ÷ 39.37 inches/meter = 0.1778 meters (rounded to four decimal places)

Therefore, the wavelength of this radio wave is approximately 0.1778 meters.

Now, let's move on to part b, finding the frequency of the radio wave.

To find the frequency of a wave, we need to use the wave equation: frequency (f) = speed of light (c) / wavelength (λ).

The speed of light is a constant value, approximately 299,792,458 meters per second.

So, for part b:

Wavelength in meters = 0.1778 meters (from part a)
Speed of light = 299,792,458 meters/second

Now, divide the speed of light by the wavelength to find the frequency:

Frequency = 299,792,458 meters/second ÷ 0.1778 meters ≈ 1,687,229,167 Hz (rounded to the nearest whole number)

Therefore, the frequency of this radio wave is approximately 1,687,229,167 Hz.

I hope this explanation helps you understand how to convert the wavelength from inches to meters and find the frequency of a radio wave. Let me know if you have any more questions!