Hand-Arm Vibration A(8)
Calculate the normalized hand-arm vibration exposure A(8), A(8) = a_w·√(t ÷ 8), from the resultant acceleration a_w (m/s²) and the exposure time t (hours). The result, in m/s², normalizes the exposure to an 8-hour shift, allowing comparison with the action and tolerance levels. Prolonged exposure to tool vibration (grinders, breakers, chainsaws) causes hand-arm vibration syndrome, with vascular and neurological damage. Enter the resultant acceleration and the exposure time.
Result
—
Vibração mão-braço A(8)
Ferramentas portáteis que vibram — lixadeiras, esmerilhadeiras, marteletes, furadeiras de impacto, motosserras — transmitem vibração às mãos e braços do operador, e a exposição prolongada causa a síndrome da vibração mão-braço (HAVS): danos aos vasos sanguíneos (o 'dedo branco' induzido por vibração, em que os dedos perdem circulação e ficam pálidos e dormentes), aos nervos (perda de tato e força) e às articulações. Para avaliar o risco, mede-se a aceleração da vibração e normaliza-se a exposição para uma jornada de 8 horas com a exposição normalizada A(8): A(8) = a_w·√(t ÷ 8), onde a_w é a aceleração resultante (a soma vetorial dos três eixos, em m/s²) e t é o tempo de exposição diário (horas). A raiz quadrada reflete o critério de igual energia: meia jornada na mesma aceleração reduz o A(8) por √2. O resultado, em m/s², é comparado aos marcos das normas (NHO-10 no Brasil; a diretiva europeia adota nível de ação em 2,5 m/s² e limite em 5,0 m/s²): acima do nível de ação, exigem-se medidas de controle (ferramentas antivibração, rodízio, manutenção); acima do limite, a exposição é proibida sem redução imediata. Reduzir o A(8) passa por escolher ferramentas de menor vibração, manter as ferramentas (lâminas afiadas, balanceamento), limitar o tempo de uso e adotar punhos amortecedores. Informe a aceleração resultante e o tempo de exposição.
Related Tools
Vibration Dose Value (VDV)
Calculate the vibration dose value (VDV) for whole-body vibration exposure, VDV = a_w·t^(1/4), from the acceleration a_w and the exposure time t. The result, in m/s^1.75, is a cumulative metric that, by using the fourth power, is more sensitive to peaks and shocks than the RMS average (important in jolting vehicles and machines). It is used by ISO 2631 to assess the spinal risk of forklift, tractor and bus operators. The higher the VDV, the greater the injury risk. Enter the acceleration and the exposure time.
Robot Arm Reach
Calculate the maximum reach of a planar two-link robotic arm, R = L₁ + L₂, by adding the lengths of the two links (arm and forearm). The result, in the length unit, is the radius of the work envelope — the farthest distance the tip (end-effector) can reach when the arm is fully extended. It defines the robot's workspace and is the first sizing parameter of manipulators. The minimum reach (dead zone at the center) is |L₁ − L₂|, and the useful area is the annulus between the two radii. Enter the two link lengths.
Recommended Weight Limit (NIOSH)
Computes the recommended weight limit from the 1991 revised NIOSH lifting equation, RWL = 23 kg × (25 ÷ H, with H floored at 25) × (1 − 0.003 × |V − 75|) × (0.82 + 4.5 ÷ D) × (1 − 0.0032 × A) × FM × CM, where H is the horizontal distance in centimetres between the hands and the midpoint of the ankles, V is the hand height at the start of the lift, D is the vertical travel of the load and A is the asymmetry angle in degrees. The 23 kg is the load constant, the maximum acceptable under ideal conditions — load against the body, at knuckle height, no trunk twist and lifted infrequently — and each multiplier discounts a fraction as the task departs from that condition. FM, the frequency multiplier, and CM, the coupling multiplier, come from the standard's own tables and therefore enter as data rather than calculation: FM depends on lifts per minute, shift duration and height range; CM on grip quality, rated good, fair or poor. Divide the weight actually lifted by the RWL to get the lifting index: above 1 the task already exposes part of the population to low back risk, and above 3 the risk is high for nearly everyone. Both H and D are floored at 25 cm by the standard itself, so below that the multiplier locks at 1 with no warning on screen: typing the distance in metres instead of centimetres passes validation and returns a limit that is too permissive. Enter the horizontal distance, the starting hand height, the vertical travel, the asymmetry angle, the frequency multiplier and the coupling multiplier.
Noise Dose
Calculate the occupational noise dose, D = (C ÷ T) × 100%, dividing the effective exposure time C by the maximum allowed time T for the measured noise level and multiplying by 100. The result, in %, shows how much of the maximum daily exposure the worker accumulated: 100% is the tolerance limit (85 dB(A) for 8 hours, with a 5 dB exchange rate in Brazil). Doses above 100% require controls and indicate risk of noise-induced hearing loss. For several levels, the C/T terms are summed. Enter the exposure time and the maximum allowed time.
Normalized Exposure Level (NEN)
Calculate the 8-hour normalized exposure level (NEN), NEN = NE + 10·log₁₀(t ÷ 480), from the measured exposure level NE (dB(A)) and the actual exposure time t (minutes). The result, in dB(A), converts an exposure of any duration into the equivalent level that would produce the same dose over a standard 8-hour (480 min) shift, allowing direct comparison with the tolerance limit and action level. It is the quantity used by occupational hygiene standards to assess continuous or intermittent noise. Enter the measured level and the exposure time.
WBGT (Occupational Heat Index)
Calculate the WBGT (wet bulb globe temperature) for indoor environments without solar load, WBGT = 0.7·t_nw + 0.3·t_g, from the natural wet-bulb temperature t_nw and the globe temperature t_g (°C). The result, in °C, is the heat stress index used to assess heat exposure: compared with tolerance limits according to the activity's metabolic rate, it sets the allowed work-rest regime. For environments with solar load, the dry-bulb temperature is also included. Enter the natural wet-bulb and globe temperatures.
The results provided by this tool are for general informational and educational purposes only and do not constitute professional, financial, medical, legal, tax or accounting advice. Always confirm important decisions with a qualified professional and official sources.