Question Bank • QB_FM_ADV_062 NAT • 2 Marks

Section 2: Farm Machinery

Farm Machinery

Subtopic: Equipment for precision agriculture

Question Statement:

An ultrasonic distance sensor mounted on an autonomous orchard sprayer measures the distance to fruit tree foliage. The sensor emits a sound pulse and detects the return echo after a two-way round-trip transit time of $t = 8.82\text{ ms}$. If the ambient speed of sound in air is $c = 340\text{ m/s}$, the one-way distance from the sensor to the canopy in $\text{m}$ is ________ (round off to 2 decimal places).

Answer Key:

1.50

Step-by-Step Solution & Explanation

``` Ultrasonic Time-of-Flight: Sensor ===( Sound Pulse )===> Canopy Sensor <==( Echo Pulse )==== Canopy Total Distance = 2 * d = c * t ``` **Step-by-step Calculation:** 1. Round trip distance traveled by acoustic wave: $d_{\text{round-trip}} = c \times t = 340\text{ m/s} \times (8.82 \times 10^{-3}\text{ s}) = 2.9988\text{ m}$ 2. One-way distance to canopy ($d$): $d = \frac{d_{\text{round-trip}}}{2} = \frac{2.9988}{2} = 1.4994\text{ m} \approx 1.50\text{ m}$
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