Unit conversions Transitional Reasoning Download PDF

Questions

1. 1.

   During track testing of a rapid transit train, an onboard accelerometer logs an acceleration rate of $7.2\text{ km}/(\text{h}\cdot\text{s})$. To enter this value into a collision avoidance simulator operating in standard SI base units, a technician must convert the measurement into meters per second squared ($\text{m/s}^2$). What is this acceleration rate expressed in $\text{m/s}^2$?

   • A) $0.20\text{ m/s}^2$
   • B) $2.0\text{ m/s}^2$
   • C) $7.2\text{ m/s}^2$
   • D) $26\text{ m/s}^2$
2. 2.

   An electrical engineer designing a power distribution busbar for an electric vehicle measures a continuous current density of $4.5\text{ A/mm}^2$. To perform a thermal dissipation analysis using standard SI base units, this quantity must be expressed in amperes per square meter ($\text{A/m}^2$). What is this current density expressed in $\text{A/m}^2$?

   • A) $4.5 \times 10^3\text{ A/m}^2$
   • B) $4.5 \times 10^6\text{ A/m}^2$
   • C) $4.5 \times 10^{-3}\text{ A/m}^2$
   • D) $4.5 \times 10^{-6}\text{ A/m}^2$
3. 3.

   An automated ultraviolet curing system uses a radiometer to monitor radiant power on an adhesive bond, recording an irradiance of 45 mW/cm². To evaluate this process against manufacturing protocols formulated in SI units, an engineer needs to express this measurement in watts per square meter (W/m²). What is this irradiance expressed in W/m²?

   • A) 450 W/m²
   • B) 45 W/m²
   • C) 4.5 W/m²
   • D) 0.045 W/m²
4. 4.

   A precision manufacturing process deposits a protective ceramic coating on a substrate at an areal mass density of 7.2 mg/cm². To configure automated quality control equipment operating in SI base units, a technician must convert this surface density into kilograms per square meter (kg/m²). What is this areal mass density expressed in kg/m²?

   • A) 0.0072 kg/m²
   • B) 0.072 kg/m²
   • C) 0.72 kg/m²
   • D) 72 kg/m²
5. 5.

   A chemical synthesis module in an automated micro-reactor receives a continuous liquid reagent feed at a steady rate of 5.4 L/h. To calibrate the micro-injection system, an engineer needs to record this volumetric flow rate in cubic millimeters per second (mm³/s). What is this feed rate expressed in mm³/s?

   • A) 1.5 mm³/s
   • B) 1500 mm³/s
   • C) 15,000 mm³/s
   • D) 90,000 mm³/s
6. 6.

   A telemetry beacon on an autonomous ocean glider is powered by a lithium backup cell with a rated storage capacity of 850 mA·h (milliampere-hours). To integrate this specification into an electrical modeling program that requires standard SI units of electric charge, an engineer needs to convert this capacity into coulombs (C), where $1\text{ C} = 1\text{ A}\cdot\text{s}$. What is this battery capacity expressed in coulombs?

   • A) 51 C
   • B) 850 C
   • C) 3,060,000 C
   • D) 3060 C
7. 7.

   An automated acoustic sensor in an aeronautics laboratory records the propagation speed of a pressure wave as 1260 km/h. To synchronize this measurement with a high-speed camera system that tracks wavefront displacement in centimeters per millisecond (cm/ms), a technician must convert the recorded speed. What is this speed expressed in cm/ms?

   • A) 35 cm/ms
   • B) 3.5 cm/ms
   • C) 350 cm/ms
   • D) 3500 cm/ms