## Area expansion – problems and solutions

1. At 20 oC, the length of a sheet of steel is 50 cm and the width is 30 cm. If the coefficient of linear expansion for steel is 10-5 oC-1, determine the change in area and the final...

## Linear expansion – problems and solutions

1. A steel is 40 cm long at 20 oC. The coefficient of linear expansion for steel is 12 x 10-6 (Co)-1. The increase in length and the final length when it is at 70 oC will be… Known...

## Converting temperature scales (Celsius scale, Fahrenheit scale, Kelvin scale)

1. 50 oC = ….. oF ? Solution At standard atmospheric pressure, the freezing point of water is 0 oC on the Celsius scale and 32 oF on the Fahrenheit scale. At standard atmospheric pressure, the boiling point of...

## Hooke’s law – problems and solutions

1. A graph of force (F) versus elongation (x) shown in the figure below. Find the spring constant! Solution Hooke’s law formula : k = F / x F = force (Newton) k = spring constant (Newton/meter) x =...

## Stress, strain, Young’s modulus – problems and solutions

1. A nylon string has a diameter of 2 mm, pulled by a force of 100 N. Determine the stress! Known : Force (F) = 100 N Diameter (d) = 2 mm = 0.002 m Radius (r) = 1...

## Converting angle units (degree, radian, revolution) – problems and solutions

1. ¼ rev = ….. o (degree) ? Solution 1 rev = 360o ½ rev = 180o ¼ rev = 90o 2. ½ rev = …….. rad ? Solution 1 rev = 2π rad = 2(3.14) rad = 6.28...

## Centripetal acceleration – problems and solutions

1. A ball, attached to the end of a horizontal cord, is revolved in a circle of radius 20 cm. The ball around 360o each second. Determine the magnitude of the centripetal acceleration! Known : Angular speed (ω) =...

## Angular acceleration and linear acceleration – problems and solutions

1. A wheel 30 cm in radius rotates at constant 5 rad/s2. What is the magnitude of the linear acceleration of a point located at (a) 10 cm from the center (b) 20 cm from the center (c) on...

## Angular velocity and linear velocity – problems and solutions

1. A ball at the end of a string is revolving uniformly in a horizontal circle of radius 2 meters at constant angular speed 10 rad/s. Determine the magnitude of the linear velocity of a point located : (a)...

## Angular displacement and linear displacement – problems and solutions

1. A bike wheel 60 cm in diameter rotates 10 radians. What is the linear displacement of a point on the edge of the wheel? Known : Radius (r) = 30 cm = 0.3 m Angle (θ) = 10...