Question:
The ratio between the tensions in the right side and slack side of a flat belt drive increases
The ratio between the tensions in the right side and slack side of a flat belt drive increases
Show Hint
To prevent belt slippage and transmit more power:
Increase the angle of lap (\(\theta\)) by installing an idler pulley on the slack side of the belt.
Because the tension ratio increases exponentially with \(\theta\), even a small increase in contact angle significantly improves torque transmission.
Increase the angle of lap (\(\theta\)) by installing an idler pulley on the slack side of the belt.
Because the tension ratio increases exponentially with \(\theta\), even a small increase in contact angle significantly improves torque transmission.
Updated On: Jul 23, 2026
- in direct proportion to the angle of lap
- proportional to the width of the belt.
- exponentially as the angle of lap increases
- in direct proportion to the coefficient of friction
Show Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
Step 1: Understanding the Concept:
Belt drives are used to transmit power between rotating shafts using frictional contact.
A flat belt drive consists of a driving pulley and a driven pulley.
When transmitting power, the tension on the pulling side of the belt (tight side, \(T_1\)) is greater than the tension on the returning side (slack side, \(T_2\)).
Key Formula or Approach:
The relationship between the tight-side tension (\(T_1\)) and the slack-side tension (\(T_2\)) at the point of slipping is given by the belt tension ratio formula:
\[ \frac{T_1}{T_2} = e^{\mu \theta} \]
where:
- \(\mu\) is the coefficient of friction between the belt and the pulley surface.
- \(\theta\) is the angle of contact or angle of lap (in radians) between the belt and the smaller pulley.
- \(e\) is the base of natural logarithms.
Step 2: Detailed Explanation:
Let us analyze the mathematical relationship between the tension ratio and the angle of lap:
- The formula \(\frac{T_1}{T_2} = e^{\mu \theta}\) shows that the ratio of the tensions depends on both the coefficient of friction \(\mu\) and the angle of lap \(\theta\).
- Because the angle of lap \(\theta\) resides in the exponent of the base \(e\), any change in \(\theta\) causes an exponential change in the tension ratio.
- As the angle of lap \(\theta\) increases (which can be achieved by using idler/jockey pulleys or increasing the center-to-center distance), the term \(e^{\mu \theta}\) increases exponentially.
- This exponential increase significantly raises the tension ratio \(\frac{T_1}{T_2}\), allowing the belt drive to transmit much more torque and power without slipping.
Therefore, the tension ratio increases exponentially as the angle of lap increases.
Step 3: Final Answer:
The ratio between the tight and slack side tensions increases exponentially as the angle of lap increases.
Belt drives are used to transmit power between rotating shafts using frictional contact.
A flat belt drive consists of a driving pulley and a driven pulley.
When transmitting power, the tension on the pulling side of the belt (tight side, \(T_1\)) is greater than the tension on the returning side (slack side, \(T_2\)).
Key Formula or Approach:
The relationship between the tight-side tension (\(T_1\)) and the slack-side tension (\(T_2\)) at the point of slipping is given by the belt tension ratio formula:
\[ \frac{T_1}{T_2} = e^{\mu \theta} \]
where:
- \(\mu\) is the coefficient of friction between the belt and the pulley surface.
- \(\theta\) is the angle of contact or angle of lap (in radians) between the belt and the smaller pulley.
- \(e\) is the base of natural logarithms.
Step 2: Detailed Explanation:
Let us analyze the mathematical relationship between the tension ratio and the angle of lap:
- The formula \(\frac{T_1}{T_2} = e^{\mu \theta}\) shows that the ratio of the tensions depends on both the coefficient of friction \(\mu\) and the angle of lap \(\theta\).
- Because the angle of lap \(\theta\) resides in the exponent of the base \(e\), any change in \(\theta\) causes an exponential change in the tension ratio.
- As the angle of lap \(\theta\) increases (which can be achieved by using idler/jockey pulleys or increasing the center-to-center distance), the term \(e^{\mu \theta}\) increases exponentially.
- This exponential increase significantly raises the tension ratio \(\frac{T_1}{T_2}\), allowing the belt drive to transmit much more torque and power without slipping.
Therefore, the tension ratio increases exponentially as the angle of lap increases.
Step 3: Final Answer:
The ratio between the tight and slack side tensions increases exponentially as the angle of lap increases.
Was this answer helpful?
0
0
Top ICAR AIEEA Dairy Technology Questions
- As per legal standards (FSSR, 2011), the acidity (%LA) of chakka should not be more than:
- Which of the following food additive is permitted as preservative in paneer?
- Given below are four statements:
Statement (I) : Homogenisation breaks down fat globules in milk into smaller entities.
Statement (II) : Homogenisation breaks down fat globules and casein micelles in milk into smaller entities.
Statement (III) : Homogenisation slightly increases viscosity of milk.
Statement (IV) : Homogenisation improves the appearance of milk.
In light of the above statements, choose the most appropriate answer from the options given below. - With regard to temperature of operation, place the following unit operations in sequence in an increasing order of temperature:
(i) Sterilisation
(ii) Thermisation
(iii) Homogenisation
(iv) Bactofugation and
(v) HTST pasteurization.
Choose the correct answer from the options given below : - “Narampak” and “karapak” refer to varieties of sandesh with reference to which of the following parameters ?
View More Questions
Top ICAR AIEEA Engineering Mathematics Questions
- Which of the following principle is related to dimensional analysis ?
- The equation for alternating voltage is given by :
- A conductor of length 1.75 metre moves at right angles to a uniform magnetic field of flux density 0.5 Wb/m\(^{2}\) with a velocity of 60 metre/second. Calculate the e.m.f. induced in it.
- A coil with "I" amperes of current and "R" ohm resistance and "t" is time in second, the heat produced 'H' in joules is given by which of the following equation ?
- The compression ratios for diesel engines lie in the range of :
View More Questions
Top ICAR AIEEA Questions
- Which of the following statements is false?
- Which of the following is an example of an inventory?
- According to Adam Smith, productivity gains could be brought about through .
- The supply curve for an artificially scarce good is .
- Which of the following would not be considered an opportunity cost of paid employment?
View More Questions