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Using the Health and Safety at Work Act 1974 as the principal source of legislation, describe the roles and responsibilities of the following in an electrical and mechanical environment:
Ø Employers.
Ø Self-employed (subcontractors).
Ø Employees.
Ø Health and Safety Executive (HSE) Inspectors.
An open belt drive consists of two pulleys which are 5 m apart. The diameters of the larger pulley and smaller pulley are 2 m and 1 m respectively. The allowable maximum tension of the belt is 4 kN. The coefficient of friction between the belt and the pulley is 0.4 and the mass of the belt is 2kg/m length. Calculate:
3.1. The torque on the shafts when the larger pulley rotates at 300 RPM. (7)
3.2. The power transmitted. (3)
3.3. The speed in RPM at which maximum power can be transmitted. (5) 3.4. The maximum power that can be transmitted. (3)
A power of 4.5 kW must be transmitted from a pulley of an effective diameter of 0.25 m. The pulley is running at 1200 RPM. The angle of contact is 160° and the groove angle is 40°. The coefficient of friction is 0.2. If the allowable tension in each belt is 100 N, calculate the number of V-belts that will be required to transmit the power.
A vehicle has a wheel base of 3 m with a centre of gravity 0.8 m above ground level and 1.8 m in front of the rear axle. The coefficient of friction between the wheels and the road is 0.5. The vehicle is traveling horizontally at 90 km/h. Calculate the shortest distance at which the vehicle can be brought to a standstill by means of: 1.1. The brakes on the rear wheels only (14)
1.2. The brakes on both front and rear wheels.
The velocity field of a flow is given 2 2 V x ti y t x t j m s = + −+ 2 4 ( 1) 2 / ⎡ ⎤ ⎣ ⎦ K JK , where x and y are in meters and t is seconds. For fluid particles on the x axis, determine the speed and direction of flow.
A high-rise tower built by a developer contains 200 condominium units. The QA department of the developer has to approve the tower before turning it over to sales. The QA department will select a random sample of 8 units and inspect them. If more than three major defects are found in any unit, they will reject the unit as defective. If more than 2 of the 8 inspected units are defective, the entire tower will be rejected. If 10 of the 200 units are known to have more than three major defects, what is the probability that the tower will be rejected?
A multi plate clutch has three plates and four pressure plates, pressed together by an axial force of 500N. µ = 0.3. The outer radius of the plates is 100mm, and the inner radius is 80mm. Calculate the torque that the clutch can transmit. If the inner radius and axial force are to remain the same, but the torque is increased by 25%, what must the outer radius than be? (use uniform wear theory)
Precalculus
Good day sir could you please assist for solutions to this problems for Precalculus Pre-engineering, which is due today.
*Problem 1*
For the expression
f(x)=log((1-|x|) ÷ (1+|x|))
Determine:
• it's largest domain;
• it's intersections with the x-axis (if any);
• it's intersection with the y-axis (if any);
• it's sign;
• when appropriate, end behaviours and behaviours at accumulation points of the domain which are not in the domain, possible symptoms.
*Problem 2*
Compute, showing the procedure,
limit from x to positive infinity ( square root symbol with x^2 - 3x - square root symbol with x^2 - 5x + 1)
*Problem 3*
Compute, showing the procedure.,
limit from x to negative infinity of the expression (square root with x^6 - x^2)÷(1-2x)
*Problem1*
f(x) = log((1-|x|)÷(1+|x|))
•It's largest domain
•It's intersections with the x-axis (if any)
•It's intersection with the y-axis (if any)
•It's sign
•when appropriate, end behaviours and behaviours at accumulation points of the domain which are not in the domain, possible asymptotes.
*Problem 2*
Compute, showing the procedure,
limit from x to positive infinity of the problem encircled in brackets ( square root symbol x^2-3x - square root symbolx^2-5x+1)
*Problem 3*
Compute, showing the procedure,
limit from x to negative infinity of the expresion: (square root symbol x^6-x^2)÷(1-2x)
A manufacturing company produces bearings. One line of bearings is specified to be 1.64 centimeters (cm) in diameter. A major customer requires that the variance of the bearings be no more than 0.001 cm2. The producer is required to test the bearings before they are shipped, and so the diameters of 16 bearings are measured with a precise instrument, resulting in the following values: 1.69 1.62 1.63 1.70 1.66 1.63 1.65 1.71 1.64 1.69 1.57 1.64 1.59 1.66 1.63 1.65 Assume bearing diameters are normally distributed. Use the data and α = 0.025 to test the data to determine whether the population of these bearings is to be rejected because of too high variance.
