A car manufacturer states that a new model of a car can go f

A car manufacturer states that a new model of a car can go from zero (0) to 60 miles/hour in 5 seconds. Assuming that the acceleration is uniform convert this number to acceleration in: ft/s^2, m/s^2A gear is rotating at 600 revolutions per minute (rev/min), Convert this rotational speed to radians per second (rad/s). A block of wood weighing 64.8 l b has the following dimensions: 18 in times 15 in times 12 in. Calculate the volume of the block in. in^3 ft^3 cm^3

Solution

1.

1 feet = 0.3 meter; 1 meter = 3.33 ft. , 1 hour = 3600s

1mile = 1609 meters = 5362.8 ft.

1) acceleration in ft/s²

initial velocity = 0 miles/hr = 0 ft/s

final velocity = 60 miles/hr = ( 60 * 5362.8 ) / 3600 ft/s = 89.38 ft/s

time = 5 seconds ;

acceleration,a = (final velocity - initial velocity ) / time

a = ( 89.38 - 0 ) / 5 = 17.876 ft/s²

acceleration in m/s²

final velocity = 60 miles/hr = (60 * 1609.3 ) / 3600 = 26.82 m/s

initial velocity = 0 m/s

acceleration a = (26.82 - 0 ) / 5 = 5.364m/s²