Question: q1 a a wheel 90 cm in diameter turns at...

 

Q1

(a)      A wheel 90 cm in diameter turns at 100 rev/min. What is the angular velocity of the wheel (in radians per second) and what is the linear velocity of a point on the rim of the wheel (in meters per second)?

(b)      An air compressor is powered by a 160 rad/s electric motor using a V belt drive. The motor pulley is 8 cm in radius, and the tension in the V belt is 120 N on one side and 50 N on the other. Find the power of the motor?

 

Q2:  A spring has a 0.5-s period of oscillation when a 35-N weight is suspended from it. By how much wills the spring stretch when a 50-N weight replaces the 35-N weight? 

Q3:  

(a)   How many times more intense than the 40-dB sound of a person talking is the 100-dB sound of a power lawn mower? 

 

(b)  A 1.4-kW radio transmitter is coupled to an antenna by a cable whose attenuation is 1.8 dB. How much power reaches the antenna? 

Q4:

(a)   A newspaper is held 6 m from a 2000-cd street lamp at midnight. What is the maximum illumination of the newspaper? 

(b) Find the solid angle subtended at the center of a sphere of radius 3.0 m by an area of 100 cm2 on its surface. 

Q5: ) 

A match 5 cm long is placed 20 cm in front of a concave mirror whose focal length is 50 cm. Find the location, size, and nature of the image.

 

(b) A double convex lens has surfaces whose radii are 40 cm and 50 cm. The index of refraction of the glass is 1.52. Find the focal length of the lens.

 

Q6 A horizontal pipe 3.5 cm in radius is joined to a pipe 14 cm in radius.

(a)   If the velocity of seawater in the small pipe is 6 m/s and the pressure in there

 is , find the velocity and pressure in the large pipe.

(b)   What is the rate of flow through the pipe?