Vibration Exposure Calculator
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Vibration Exposure Calculator
Calculator
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Formula: A(8) = a_hv x sqrt(T / T0) x K
Worked example โ A(8) = 4.24 m/s2 (above EAV, below ELV)
Formula
A(8) = a_hv x sqrt(T / T0) x K
The daily vibration exposure A(8) is calculated by multiplying the vibration magnitude (a_hv in m/s2) by the square root of the exposure duration (T) divided by the reference duration (T0, typically 8 hours), and optionally by a correction factor K. The result is compared against the Exposure Action Value of 2.5 m/s2 and the Exposure Limit Value of 5.0 m/s2.
Worked Examples
Example 1: Angle Grinder Exposure
Problem:A worker uses an angle grinder with vibration magnitude of 6 m/s2 for 4 hours in an 8-hour shift.
Solution:A(8) = 6 x sqrt(4 / 8) = 6 x 0.707 = 4.24 m/s2 Exposure points = (6 / 2.5)^2 x (4 / 8) x 100 = 288 Max time at EAV = 8 x (2.5 / 6)^2 = 1.39 hours
Result:A(8) = 4.24 m/s2 (above EAV, below ELV)
Example 2: Pneumatic Drill Full Shift
Problem:A construction worker operates a pneumatic drill with 12 m/s2 vibration for 2 hours.
Solution:A(8) = 12 x sqrt(2 / 8) = 12 x 0.5 = 6.0 m/s2 Exposure points = (12 / 2.5)^2 x (2 / 8) x 100 = 576 Max time at ELV = 8 x (5.0 / 12)^2 = 1.39 hours
Result:A(8) = 6.0 m/s2 (exceeds ELV of 5.0)
Frequently Asked Questions
What is hand-arm vibration exposure A(8)?
A(8) is the daily vibration exposure value normalized to an 8-hour reference period. It is calculated by multiplying the vibration magnitude by the square root of the ratio of actual exposure time to the reference period. This standardized metric allows comparison of different exposure durations and is the primary value used in occupational health regulations across Europe and many other jurisdictions.
What are the EU exposure action and limit values for vibration?
Under EU Directive 2002/44/EC, the Exposure Action Value (EAV) is 2.5 m/s squared for hand-arm vibration, which triggers employer obligations for health surveillance and risk reduction. The Exposure Limit Value (ELV) is 5.0 m/s squared, which must not be exceeded under any circumstances. Employers must take immediate action to reduce exposure below the ELV if it is reached or exceeded.
How do I measure vibration magnitude for a power tool?
Vibration magnitude is typically provided by the tool manufacturer in the equipment documentation, measured in meters per second squared (m/s2). You can also measure it directly using a tri-axial accelerometer mounted on the tool handle. The declared vibration value from manufacturers is measured under standardized test conditions and real-world values may be higher, so a correction factor (K factor) of 1.0 to 2.0 is often applied.
Can I combine vibration exposures from multiple tools in one day?
Yes, when a worker uses multiple vibrating tools during a shift, you calculate the partial A(8) for each tool separately and then combine them using the root-sum-of-squares method. The total A(8) equals the square root of the sum of each individual A(8) value squared. This accounts for the cumulative damage from all vibration sources throughout the working day.
References
Background & Theory
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Reviewed for accuracy by Abdullah, Technical Content Specialist ยท Editorial policy
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