The Singapore Assault Rifle 21 (SAR 21) developed locally will be standard issue for Singapore soldiers in the 21st century, replacing the M-16. The SAR 21 boasts many advanced features, one of which is a laser aiming device. The overall length of the SAR 21 is 80.5 cm while the M-16 has an overall length of 99 cm. The mass of SAR 21 is 3.98 kg while the M- 16 has a mass of 4.06 kg. Calculate:
a) the difference in the overall length of the SAR 21 as compared to the M-16, as a percentage of SAR 21's length, and,
b) the difference in the mass of he M-16 as compared with the SAR 21, as a percentage of M-16's mass.
To calculate the differences as percentages, we will use the following formulas:
Percentage difference = (Difference / Original Value) * 100
a) Difference in the overall length of the SAR 21 compared to the M-16, as a percentage of SAR 21's length:
Difference = M-16 Length - SAR 21 Length
Difference = 99 cm - 80.5 cm
Difference = 18.5 cm
Percentage difference = (Difference / SAR 21 Length) * 100
Percentage difference = (18.5 cm / 80.5 cm) * 100
Percentage difference ≈ 22.98%
The difference in the overall length of the SAR 21 compared to the M-16, as a percentage of SAR 21's length, is approximately 22.98%.
b) Difference in the mass of the M-16 compared to the SAR 21, as a percentage of M-16's mass:
Difference = M-16 Mass - SAR 21 Mass
Difference = 4.06 kg - 3.98 kg
Difference = 0.08 kg
Percentage difference = (Difference / M-16 Mass) * 100
Percentage difference = (0.08 kg / 4.06 kg) * 100
Percentage difference ≈ 1.97%
The difference in the mass of the M-16 compared to the SAR 21, as a percentage of M-16's mass, is approximately 1.97%.
To calculate the difference in length and mass as a percentage, you need to follow these steps:
a) Calculate the difference in the overall length of the SAR 21 compared to the M-16:
Length difference = Length of M-16 - Length of SAR 21
= 99 cm - 80.5 cm
= 18.5 cm
b) Calculate the percentage by dividing the length difference by the length of SAR 21 and multiplying by 100:
Percentage length difference = (Length difference / Length of SAR 21) * 100
= (18.5 cm / 80.5 cm) * 100
To get the final answer, you need to perform the calculation:
Percentage length difference = (18.5 / 80.5) * 100
= 0.2292 * 100
= 22.92%
The difference in the overall length of the SAR 21 compared to the M-16 is approximately 22.92% of the SAR 21's length.
Calculating the difference in the mass of the M-16 compared to the SAR 21:
Mass difference = Mass of M-16 - Mass of SAR 21
= 4.06 kg - 3.98 kg
= 0.08 kg
Percentage mass difference = (Mass difference / Mass of M-16) * 100
= (0.08 kg / 4.06 kg) * 100
Calculating the percentage mass difference:
Percentage mass difference = (0.08 / 4.06) * 100
= 0.0197 * 100
= 1.97%
The difference in mass between the M-16 and the SAR 21 is approximately 1.97% of the M-16's mass.