To calculate the storage space required for a one-minute video clip, let's break down the problem and perform the calculations step by step.

Step 1: Determine the total number of pixels per frame

The video resolution is given as 1024 × 768 pixels.

$\text{Total pixels per frame} = 1024 \times 768 = 786,432 \text{ pixels}$

Step 2: Determine the number of bytes per pixel

Each pixel requires 3 bytes to represent true color.

$\text{Bytes per pixel} = 3 \text{ bytes}$

Step 3: Calculate the total number of bytes per frame

Now, multiply the total number of pixels by the bytes per pixel to find the total number of bytes per frame.

$\text{Bytes per frame} = 786,432 \text{ pixels} \times 3 \text{ bytes/pixel} = 2,359,296 \text{ bytes/frame}$

Step 4: Calculate the number of bytes per second

The video camera captures 30 frames per second, so multiply the bytes per frame by the number of frames per second.

$\text{Bytes per second} = 2,359,296 \text{ bytes/frame} \times 30 \text{ frames/second} = 70,778,880 \text{ bytes/second}$

Step 5: Convert bytes per second to megabytes per second

There are 1,048,576 bytes in a megabyte (MB).

$\text{MB per second} = \frac{70,778,880 \text{ bytes/second}}{1,048,576 \text{ bytes/MB}} \approx 67.5 \text{ MB/second}$

Step 6: Calculate the storage space required for a one-minute video

Since there are 60 seconds in a minute, multiply the MB per second by 60.

$\text{Storage space for 1 minute} = 67.5 \text{ MB/second} \times 60 \text{ seconds} = 4,050 \text{ MB}$

Final Answer

The storage space required for a one-minute video clip is approximately 4,050 MB or 4.05 GB.

Assumptions:

1. No compression: The calculation assumes that the video is uncompressed.
2. Consistent frame rate and resolution: The frame rate (30 fps) and resolution (1024 × 768 pixels) are consistent throughout the video.
3. True color: Each pixel requires exactly 3 bytes (24 bits) for true color representation.

Would you like any further details or have any questions?

Relative Questions

1. How would the storage requirement change if the frame rate was 60 fps instead of 30 fps?
2. What is the effect of video compression on the required storage space?
3. How does increasing the resolution from 1024 × 768 to 1920 × 1080 pixels impact storage requirements?
4. What would be the storage space needed for a 10-minute video at the same resolution and frame rate?
5. How would the storage space required compare between a grayscale video and a true color video?

Tip:

When dealing with large video files, it's important to consider using video compression techniques to significantly reduce storage requirements without losing noticeable quality.