Megabytes per hour to Megabytes per second conversion

How to convert megabytes per hour to megabytes per second?

To convert data transfer rates from Megabytes per hour (MB/h) to Megabytes per second (MB/s), you have to understand the relationship between hours, seconds, and the respective units.

Conversion from Megabytes per hour (MB/h) to Megabytes per second (MB/s)

1 hour = 60 minutes = 3600 seconds

Hence, to convert Megabytes per hour to Megabytes per second, you divide the rate by the number of seconds in an hour.

Formula

$\text{Megabytes per second} = \frac{\text{Megabytes per hour}}{3600}$

Example for 1 MB/h

$1 \, \text{MB/h} = \frac{1 \, \text{MB}}{3600 \, \text{s}} \approx 0.00027778 \, \text{MB/s}$

Real-world Examples for Various Rates

Example 1: 100 MB/h

$100 \, \text{MB/h} = \frac{100 \, \text{MB}}{3600 \, \text{s}} \approx 0.02778 \, \text{MB/s}$

Example 2: 500 MB/h

$500 \, \text{MB/h} = \frac{500 \, \text{MB}}{3600 \, \text{s}} \approx 0.13889 \, \text{MB/s}$

Example 3: 1000 MB/h

$1000 \, \text{MB/h} = \frac{1000 \, \text{MB}}{3600 \, \text{s}} \approx 0.27778 \, \text{MB/s}$

Example 4: 3600 MB/h (which equates to 1 MB/s)

$3600 \, \text{MB/h} = \frac{3600 \, \text{MB}}{3600 \, \text{s}} = 1 \, \text{MB/s}$

Base 10 vs. Base 2

The conversion from MB/h to MB/s isn't affected by whether we're using base 10 (where 1 MB = 1,000,000 bytes) or base 2 (where 1 MiB = 1,048,576 bytes), because the unit "hour" and "second" are consistent in either case. The primary distinction comes into play when converting between bytes and Megabytes.

Applying this to larger data rates

• Internet Bandwiths: A 10 Mbps (Megabits per second) internet connection converts to considering 1 Byte = 8 Bits.
  • $\text{10 Mbps} = \frac{10 \, \text{Mb}}{8} \text{MB/s} = 1.25 \, \text{MB/s}$
  • Over an hour, this results in $1.25 \, \text{MB/s} \times 3600 \text{seconds} = 4500 \, \text{MB/h}$

Practical applications

• Streaming HD Video: Typically, streaming HD videos might require around 5 Mbps.
  • $\text{5 Mbps} = \frac{5 \, \text{Mb}}{8} \text{MB/s} = 0.625 \, \text{MB/s}$
  • Over an hour, this results in $0.625 \, \text{MB/s} \times 3600 \text{seconds} = 2250 \, \text{MB/h}$

This approach can be applied to multiple scenarios involving data rates in different units.