Problem_Solving_07

30問 • 1年前

問題一覧

If a particle position is given by the expression x(t) = 3.4t³ - 5.4t meters, what is the acceleration of the particle after t = 5 seconds?

B. 102 m/s²

The distance of a body travels is a function of time and is given by x(t) = 18t + 9t². Find its velocity at t = 2.

B. 54

Determine the velocity of progress with the given equation: D = 20t + 5 / t + 1 when t = 4 seconds.

B. 19.8 m/s

A ball is dropped from the roof of a building 40 meters tall will hit the ground with a velocity of:

B. 28 m/sec

A wooden block having a weight of 50 N is placed at a distance of 1.5 m from the center of a circular platform rotating at a speed of 2 radians per second. Determine the minimum coefficient of friction of the blocks so that it will not slide. Radius of the circular platform is 3 m.

C. 0.61

The flywheel of a puncher is to be brought to a complete stop in 8 seconds from a speed of 60 revolutions per minute. Compute the number of turns the flywheel will still make if its deceleration is uniform.

C. 4 turns

What is the speed of a synchronous earth's satellite situated 4.5 × 10⁷ m from the earth?

C. 11,777.4.kph

A rotating wheel has a radius of 2 feet and 6 inches. A point on the rim of the wheel moves 30 feet in 2 sec. Find the angular velocity of the wheel.

D. 6 rad/s

A turbine started from rest to 180 rpm in 6 minutes at a constant acceleration. Find the number of revolutions that it makes within the elapsed time.

B. 540

A flywheel is 15 cm in diameter accelerates uniformly from rest to 500 rpm in 20 seconds. What is its angular acceleration?

A. 2.62 rad/s²

An elevator weighing 2,000 lb attains an upward velocity of 16 fps in 4 seconds with uniform acceleration. What is the tension in the supporting cables?

D. 2,250 lb

An iron column of annular cross-section has an outer diameter of 200 mm and is subjected to a force of 75 kN. Find the thickness of the wall if the allowable compressive stress is 10 Mpa.

A. 12.75 mm

A force of 10 N is applied to one end of a 10 inches diameter circular rod. Calculate the stress.

A. 0.20 kPa

A steel tie rod on bridge must be made to withstand a pull of 5000 lbs. Find the diameter of the rod assuming a factor of safety of 5 and ultimate stress of 64,000 psi.

B. 0.71

If the ultimate shear strength of a steel plate is 42,000 psi, what force is necessary to punch a 0.75 inch diameter hole in a 0.625 inch thick plate?

C. 61,850

What is the modulus of elasticity if the stress is 44,000 psi and unit strain of 0.00105?

A. 41.905 × 10⁶

A hollow shaft has an inner diameter of 0.035 m and an outer diameter of 0.06 m. Compute for the torque in N-m, if the stress is not to exceed 120 Mpa.

A. 4500

Compute the nominal shear stress at the surface in Mpa for a 40-mm diameter shaft that transmits 750 kW at 1500 rpm. Axial and bending loads are assumed negligible.

D. 380

A cylinder of diameter 1.0 cm at 30°C is to be slid into a hole on a steel plate. The hole has a diameter of 0.99970 cm at 30°C. To what temperature the plate must be heated? Coefficient of linear expansion for steel is 1.2 × 10^-5 cm/°C.

D. 55°C

A simply supported beam, 10 m long carries a uniformly distributed load of 20 kN/m. What is the value of the maximum shear of the beam due to this load?

B. 100 kN

P 4000 is borrowed for 75 days at 16 % per annum simple interest. How much will be due at the end of 75 days?

A. P 4,133.33

A deposit of P 110,000 was made for 31 days. The net interest after deducting 20% withholding tax is P 890.36. Find the rate of return annually.

C. 11.75 %

Agnes Abadilla was granted a loan of P 20,000 by her employer CPM Industrial Fabricator and Construction Corporation with an interest of 6 % for 180 days on the principal collected in advance. The corporation would accept a promissory note for P 20,000 non-interest for 180 days. If discounted at once, find the proceeds of the note.

B. P 18,800

What will be the future worth of money after 12 months, if the sum of P 25,000 is invested today at simple interest rate of 1% per month?

C. P 28,000

If you borrowed money from your friend with simple interest of 12 %, find the present worth of P 50,000, which is due at the end of 7 months.

C. P 46,730

A bank charges 12 % simple interest on a P 300.00 loan. How much will be repaid if the loan is paid back in one lump sum after three years?

A. P 408.00

A man borrowed P 100,000 at the interest rate of 12 % per annum, compounded quarterly. What is the effective rate?

D. 12.55 %

Find the present worth of a future payment of P 100,000 to be made in 10 years with an interest of 12 % compounded quarterly.

C. P 30,655.68

P 200,000 was deposited on January 1, 1988 at an interest rate of 24 % compounded semi-annually. How much would the sum be on January 1, 1993 ?

D. P 621,170

A merchant puts in his P 2,000.00 to a small business for a period of six years. With a given interest rate on the investment of 15 % per year, compounded annually, how much will he collect at the end of the sixth year?

D. P 4,626.00

Machine Design ( 1st Set )

Jacky Shane Luyas Buhia · 20問 · 2年前

Machine Design ( 1st Set )